Solve the equation. Check your answer

6/1/2021 2021 SUMMER PRACTICE-AMY ALLENDE

https://xlitemprod.pearsoncmg.com/api/v1/print/math 1/37

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Student: _____________________ Date: _____________________

Instructor: AMY ALLENDE Course: ALGEBRA 1 PERIOD 6 20-21 Assignment: 2021 SUMMER PRACTICE

Write an algebraic expression for the following word phrase.

less than the product of and x12.27 37

The word phrase written as an algebraic expression is .

Evaluate the expression below for s and t .= 5 = 6

s s2 t2 − 2

For s and t , s s .= 5 = 6 2 t2 − 2 =

Subtract.

( )− 5 − − 9

( )− 5 − − 9 =

Add.

− 1 + ( − 6)

− 1 + ( − 6) =

Multiply.

( )( ) − 5 9

( )( )− 5 9 =

Use the distributive property to write the expression without parentheses.

6(3x + 4)

(Simplify your answer.)6(3x + 4) =

Simplify the algebraic expression by combining like terms.

6x + 17x2 2

(Simplify your answer.)6x + 17x2 2 =

Simplify the expression.

4b c + 5b c − 3b c2 4 4 2 4 2

4b c + 5b c − 3b c2 4 4 2 4 2 =

Solve the equation. Check your answer.

x + 6 = 4

x =

mwalsh

Placed Image

mwalsh

Placed Image



10.

11.

12.

13.

14.

15.

16.

17.

Solve the equation.

x8 = 23

The solution is x .= (Type an integer or a simplified fraction.)

Solve the equation.

x− 8 − 9 = 23

x =

Solve the equation. Check your answer.

g − 77 =

67

g (Simplify your answer.)=

Solve the equation. Check your solution.

x x5 + 2 − 4 = 10

x (Simplify your answer.)=

Solve.

11x + 12 = 8x − 9

x = (Simplify your answer. Type an integer or a fraction.)

Solve.

x x 8 − 7 = 15 + 19

The solution is x .= (Simplify your answer. Type an integer or a fraction.)

(1) has no solution is an identity

Determine whether the equation is an identity or whether it has no solution.

(a ) a ( a )4 − 4 = 8 − 4 + 16

The equation (1) .

Solve the equation. Note if the equation is an identity or if it has no solution.

c− 2( − c − 12) = − 2 − 12

Select the correct choice and fill in any answer boxes in your choice below.

A. c =

B. The equation is an identity.

C. The equation has no solution.



18.

19.

20.

21.

Solve the formula for the indicated variable.

for T =r − v

d r

The solution is .r = (Simplify your answer.)

Solve the formula for the specified variable.

for A = P + PRT T

= T

Graph the inequality.1 < x

Which of the following graphs represents the inequality?

A. -3 -2 -1 0 1 2 3 4 5

B. -3 -2 -1 0 1 2 3 4 5

C. -3 -2 -1 0 1 2 3 4 5

D. -3 -2 -1 0 1 2 3 4 5

E. -3 -2 -1 0 1 2 3 4 5

F. -3 -2 -1 0 1 2 3 4 5

Write an inequality for the graph shown below.

-10 -8 -6 -4 -2 0 2 4 6 8 10

Choose the correct answer below.

A. x ≤ 4

B. x < 4

C. x ≥ 4

D. x > 4



22.

23.

Solve the inequality. Graph and check your solutions.

y − 4 > − 20

y (Simplify your answer.)>

Which of the following is the graph of the solution?

A. -18 -17 -16 -15 -14

B. -18 -17 -16 -15 -14

C. -22 -21 -20 -19 -18

D. -18 -17 -16 -15 -14

E. -26 -25 -24 -23 -22

Solve the inequality. Graph and check your solutions.

x + 9 > 1

x (Simplify your answer.)>

Which of the following is the graph of the solution set?

A. -1 0 1 2 3

B. -10 -9 -8 -7 -6

C. -10 -9 -8 -7 -6

D. -10 -9 -8 -7 -6

E. 8 9 10 11 12



24.

25.

(1)

Your goal is to take at least steps per day. According to your pedometer, you have walked steps. Write and solve an inequality to find the possible numbers of steps you can take to reach your goal.

14,000 6588

Choose the inequality below that correctly represents the possible numbers of steps needed to reach your goal.

A. s > 20,588 B. s ≤ 20,588

C. s + 14,000 ≥ 6588 D. s − 6588 ≤ 14,000

E. s + 14,000 < 6588 F. s − 14,000 ≥ 20,588

G. s + 6588 ≥ 14,000 H. s − 14,000 ≤ 6588

What are the possible numbers of steps you can take to reach your goal?

s (1) (Simplify your answer.)

<≥>≤

(1)

Solve the inequality. Graph and check your solution.

< − 4x3

x (1) (Simplify your answer.)

Choose the correct graph below.

A. -12 -10 -8 -6 -4 -2 0 2 4

B. 4 6 8 10 12 14 16 18 20

C. -20 -18 -16 -14 -12 -10 -8 -6 -4

D. -4 -2 0 2 4 6 8 10

E. -20 -18 -16 -14 -12 -10 -8 -6 -4

<>≥≤



26.

27.

28.

29.

(1)

Solve the inequality. Check your solutions.

5n + 2 < 22

The solution is (1) .n

(Simplify your answer.)

≤<≥>

(1)

Solve the inequality. Check your solutions.

5x + 3 ≥ 13

The solution is (1) .x

(Simplify your answer.)

≤≥<>

Solve the inequality. Write the solution in set-builder notation.

− 2x − 8 ≥ − 20

The solutions are given by {x | }. (Type an inequality. Use integers or fractions for any numbers in the expression. Simplify your answer.)

Write a compound inequality that represents the following phrase. Graph the solutions.

all real numbers that are between and − 7 3

Write a compound inequality that represents the phrase. Choose the correct answer below.

A. n− 7 < < 3 B. n− 7 < ≤ 3

C. n− 7 ≤ ≤ 3 D. n− 7 ≤ < 3

Graph the solutions. Choose the correct graph below.

A.

-10 -8 -6 -4 -2 0 2 4 6 8 10

B.

-10 -8 -6 -4 -2 0 2 4 6 8 10

C.

-10 -8 -6 -4 -2 0 2 4 6 8 10

D.

-10 -8 -6 -4 -2 0 2 4 6 8 10



30.

31.

Solve the compound inequality. Graph the solutions.

p1 < 2 − 3 ≤ 9

The solutions are given by . (Type an inequality or a compound inequality. Simplify your answer.)


A.

-10 -5 0 5 10

B.

-10 -5 0 5 10

C.

-10 -5 0 5 10

D.

-10 -5 0 5 10

E.

-10 -5 0 5 10

F.

-10 -5 0 5 10

Solve the inequality. Graph the solutions.

or 5t − 4 < − 39 4t + 2 > 14

Solve the inequality. Choose the correct answer below.

A. t or t< − 7 < 3 B. t or t< − 2 > 5

C. t or t> − 2 > 5 D. t or t< − 7 > 3

E. t or t< − 2 < 5 F. t or t> − 7 > 3

G. t or t> − 2 < 5 H. t or t> − 7 < 3


A.

-10 -8 -6 -4 -2 0 2 4 6 8 10

B.

-10 -8 -6 -4 -2 0 2 4 6 8 10

C.

-10 -8 -6 -4 -2 0 2 4 6 8 10

D.

-10 -8 -6 -4 -2 0 2 4 6 8 10

E.

-10 -8 -6 -4 -2 0 2 4 6 8 10

F.

-10 -8 -6 -4 -2 0 2 4 6 8 10

G.

-10 -8 -6 -4 -2 0 2 4 6 8 10

H.

-10 -8 -6 -4 -2 0 2 4 6 8 10



32.

33.

34.

Solve and graph the equation.

9t = 63

Select the correct choice and, if necessary, fill in the answer box in your choice below.

A. t = (Simplify your answer. Use a comma to separate answers as needed.)

B. There is no solution.


A.

-10 -5 0 5 10

B.

-10 -5 0 5 10

C.

-10 -5 0 5 10

D. There is no solution.

Solve the equation. Graph and check your solutions.

+ 9x = 15

Solve the equation for x. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A. x = (Type an integer or a simplified fraction. Use a comma to separate answers as needed.)



A.

-15 -10 -5 0 5 10 15

B.

-15 -10 -5 0 5 10 15

C.

-15 -10 -5 0 5 10 15

D. There is no solution.

Solve the equation.

x − 7 = 6

Select the correct choice and, if necessary, fill in the answer box in your choice below.

A. x = (Simplify your answer. Use a comma to separate answers as needed.)




35.

36.

Solve and graph the inequality.

< 12x

What are the solutions?

A. x or x< − 12 > 12

B. x or x≤ − 12 ≥ 12

C. x− 12 ≤ ≤ 12

D. x− 12 < < 12


A.

-15 -10 -5 0 5 10 15

B.

-15 -10 -5 0 5 10 15

C.

-15 -10 -5 0 5 10 15

D.

-15 -10 -5 0 5 10 15

What are the solutions of ? Graph the solutions.≥ 124n

What are the solutions?

A. n− 3 ≤ ≤ 3

B. n or n≤ − 3 ≥ 3

C. n or n< − 3 > 3

D. n− 3 < < 3


A.

-10 -8 -6 -4 -2 0 2 4 6 8 10

B.

-10 -8 -6 -4 -2 0 2 4 6 8 10

C.

-10 -8 -6 -4 -2 0 2 4 6 8 10

D.

-10 -8 -6 -4 -2 0 2 4 6 8 10



37.

38.

Graph the linear function.

y = − 2x + 3

Use the graphing tool to graph the linear equation.

-10 -8 -6 -4 -2 2 4 6 8 10

-10

-8

-6

-4

-2

2

4

6

8

10

x

y

A car rental agency charges $ per day to rent a car and $ per day for a global positioning system (GPS). Customers are charged for their full tank of gas at $ 0 per gallon. A car has a gallon tank and a GPS.

30 11.954.5 13

a) Write a function rule for the total bill b as a function of the days d the car is rented. b) What is the bill for a day rental?9

a) Choose the correct function rule for the total bill b as a function of the days d the car is rented. (Type an integer or a decimal.)

A. d b= +

B. b d= +

C. d b=

D. b d=

b) What is the bill for a day rental?9

$



39.

40.

41.

42.

Use a mapping diagram to determine whether the relation is a function.

{( , ), ( , ), ( , ), ( , ), ( , ), ( , )}4 4 5 6 5 7 6 5 1 15 4 3

Which of the following mapping diagrams represents the relation?

A.

4

5

6

1

4367515

B.

4

5

6

1

4367515

C.

45

61

4

3

67515

5

4

Is the relation a function?

Yes

No

What is for the function ?f(4) f(x) = 7x + 3

f(4) =

Use the vertical line test to determine whether each relation is also a function.

Using the vertical line test, is this the graph of a function?

No

Yes-10 -8 -6 -4 -2 2 4 6 8 10

-10

-8

-6

-4

-2

2

4

6

8

10

x

y

Find the slope of the line shown on the graph to the right.

What is the slope of the line? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A. The slope of the line is . (Type an integer or a simplified fraction.)

B. The slope of the line is undefined.

-8 -6 -4 -2 2 4 6 8

-8

-6

-4

-2

2

4

6

8

x

y



43.

44.

45.

Using the slope formula, find the slope of the line through the given points.

and (3,1) (1,9)




Find the slope of the line.

-8 -4 4 8

-8

-4

4

8

x

y

(-4,-1) (4,-1)




Using the slope formula, find the slope of the line through the given points.

and (3, − 1) ( − 1, − 1)






46.

47.

48.

Graph the equation.

y = 4x + 2

Use the graphing tool to graph the line.

-10 -8 -6 -4 -2 2 4 6 8 10

-10

-8

-6

-4

-2

2

4

6

8

10

x

y

Find the slope and y-intercept of the line whose equation is given.

y = − 6x + 8

Determine the slope. Select the correct choice below and fill in any answer boxes in your choice.

A. m (Type an integer or a fraction.)=

B. The slope is undefined.

Determine the y-intercept. Select the correct choice below and fill in any answer boxes in your choice.

A. b (Type an integer or a fraction.)=

B. There is no y-intercept.

Find the slope and y-intercept of the graph of the equation.

y = 2


A. The slope is .

B. The slope is undefined.


A. The y-intercept is .

B. There is no y-intercept.



49.

50.

51.

52.

Write an equation in slope-intercept form of the line with the given slope m and y-intercept b.

m , b= − 5 =43

Enter the equation of the line in slope-intercept form.

(Do not factor. Use integers or fractions for any numbers in the equation.)

Write an equation of the line.

The equation is . (Type your answer in slope-intercept form.)

-10 -8 -6 -4 -2 2 4 6 8 10

-10

-8

-6

-4

-2

2

4

6

8

10

x

y

Write an equation of the line that passes through the given points.

( , ) and ( , )− 4 7 3 0

The equation is . (Type your answer in slope-intercept form.)

Graph the equation.

y = 2x + 3

Use the graphing tool to graph the line.

-10 -8 -6 -4 -2 2 4 6 8 10

-10

-8

-6

-4

-2

2

4

6

8

10

x

y



53.

54.

55.

56.

57.

Use the slope and y-intercept to graph the equation.

y x 03 + 18 =

Use the graphing tool to graph the equation. Use the slope and y-intercept when drawing the line.

-10 -8 -6 -4 -2 2 4 6 8 10

-10

-8

-6

-4

-2

2

4

6

8

10

x

y

Write an equation in point-slope form of the line that passes through the given point and with the given slope m.

; m ( − 4,1) = 3

The equation of the line is . (Simplify your answer. Type your answer in point-slope form.)

Write an equation in point-slope form of the line that passes through the given points, then write the equation in slope-intercept form.

( , ), ( , )− 12 8 6 2

What is the point-slope form of the equation of the line?

(Simplify your answer. Use integers or fractions for any numbers in the equation.)

What is the slope-intercept form of the equation of the line?


Write the equation in standard form using integers.

y x= 3 + 7

The equation in standard form is .

Write the equation in standard form using integers.

y x= −47 − 7

The equation in standard form is .



58.

59.

60.

61.

Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation.

( , ); − 9 − 7 y = − 5x + 5

Write an equation for the line in slope-intercept form.


Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation.

(0,0); y = x + 647

The equation of the line is y .= (Simplify your answer.)

Determine whether the graphs of the given equations are parallel, perpendicular, or neither.

y x= + 8y x= − + 3


Perpendicular

Neither

Parallel

Graph the following function.

y |x|= + 4

Choose the correct graph of y |x| .= + 4

A.

-10 10

-10

10

x

y

B.

-10 10

-10

10

x

y

C.

-10 10

-10

10

x

y

D.

-10 10

-10

10

x

y



62.

63.

64.

Graph the following function.

y |x |= + 3

Choose the correct graph on the right.

A.

-10 10

-10

10

x

y

B.

-10 10

-10

10

x

y

C.

-10 10

-10

10

x

y

D.

-10 10

-10

10

x

y

Graph the following function by translating y .= x

y = x − 1

Which graph below is the correct graph of y ?= x − 1

A.

-10 10

-10

10

x

y

B.

-10 10

-10

10

x

y

C.

-10 10

-10

10

x

y

D.

-10 10

-10

10

x

y

Solve the system of equations by graphing.

y = 2x − 5

y = − 3x + 5

Use the graphing tool to graph the system.

Select the correct choice below and fill in any answer boxes present in your choice.

A. The solution of the system is .

(Type an ordered pair.)

B. There are infinitely many solutions.

C. There is no solution.

-10 -8 -6 -4 -2 2 4 6 8 10

-10

-8

-6

-4

-2

2

4

6

8

10

x

y



65.

66.

67.

68.

69.

Solve the system by graphing. Tell whether the system has one solution, infinitely many solutions, or no solution.

y = x − 6y = x + 5

Use the graphing tool to graph the system.

Select the correct choice below and fill in any answer boxes present in your choice.

A. The solution of the system is .


B. There are infinitely many solutions.


-10 -8 -6 -4 -2 2 4 6 8 10

-10

-8

-6

-4

-2

2

4

6

8

10

x

y

Solve the system of equations by substitution.

x + y = 16y = 3x

The solution of the system is . (Simplify your answer. Type an ordered pair.)

Solve by the substitution method.

x y5 + 8 = 18 x y− 9 + = 60

What is the solution of the system?


Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total of people took the trip. She was able to purchase coach tickets for $ and first class tickets for $ . She used her total budget for airfare for the trip, which was $ . How many first class tickets did she buy? How many coach tickets did she buy?

8 140 9703610

number of first class tickets bought =

number of coach tickets bought =

Solve the system using elimination.

2x + 7y = 82x − 7y = 8

The solution is . (Type an ordered pair.)



70.

71.

72.

Solve the system using elimination.

4x − 6y = 6x − 6y = − 12

The solution is . (Type an ordered pair.)

Graph the linear inequality.

x < 7

Use the graphing tool to graph the inequality.

-10 -8 -6 -4 -2 2 4 6 8 10

-10

-8

-6

-4

-2

2

4

6

8

10

x

y

Graph the inequality.

y x≥ − 5

Use the graphing tool on the right to graph the inequality.

-10 -8 -6 -4 -2 2 4 6 8 10

-10

-8

-6

-4

-2

2

4

6

8

10

x

y



73.

74.

75.

Graph the inequality.

y > 2

Use the graphing tool to graph the inequality.

-10 -8 -6 -4 -2 2 4 6 8 10

-10

-8

-6

-4

-2

2

4

6

8

10

x

y

Graph the system of inequalities.

y x> 3 − 4y x4 − ≤ 16

Use the graphing tool on the right to graph the system of inequalities.

-10 -8 -6 -4 -2 2 4 6 8 10

-10

-8

-6

-4

-2

2

4

6

8

10

x

y

Write an equivalent expression with positive exponents only.

x y7 − 3

Which choice is correct?

A. x7

y3

B. (xy)4

C. 1

x7y3

D. xy4



76.

77.

78.

79.

80.

81.

82.

Express with positive exponents.

x

y − 2

Choose the correct expression with positive exponents.

A. y2

x

B. xy

3

C. xy

− 1

D. xy2

Write an equivalent expression with positive exponents only.

x y6 − 4

Which choice is correct?

A. x6

y4

B. (xy)2

C. xy2

D. 1

x6y4

Simplify the exponential expression.

9a − 8b3

10a7b − 8

0

(Simplify your answer. Use positive exponents only.)9a − 8b3

10a7b − 8

0

=

Rewrite the expression using the base only once.

4 • 4 • 42 − 9

= 4 • 4 • 42 − 9

(Type your answer using exponential notation.)

Multiply and simplify.

d4 • d4

d4 • d4 = (Type your answer as one base to a nonnegative power.)

Use the product rule to simplify the expression. Write the results using exponents.

3z − 5z z10 6 3

3z − 5z z10 6 3 =


x93

(Type exponential notation with positive exponents. Simplify your answer.)x93

=



83.

84.

85.

86.

87.

88.


z73

(Type exponential notation with positive exponents. Simplify your answer.)z73

=


v v − 3− 6

v v − 3− 6

= (Type exponential notation with positive exponents.)

Rewrite as a base to a power, if possible.

77

73

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A. 77

73=

(Type exponential notation with positive exponents.)

B. The expression cannot be simplified.

Simplify the following. Write answers with positive exponents.

z − 5

z − 6

(Use positive exponents only.)

z − 5

z − 6=


9x3y5

3x2y

9x3y5

3x2y=

Simplify the following expression.

32m6 t7

36m9 t − 6

32m6 t7

36m9 t − 6=

(Use positive exponents only.)



89.

90.

91.

92.

93.

94.

95.

96.

Add the polynomials.

8x − 7x + 8 + 6x − 7x2 3

The sum is . (Simplify your answer.)

Subtract.

( x x ) ( x x )6 4 + 6 3 − 4 − 2 2 − 8 + 2

( x x ) ( x x )6 4 + 6 3 − 4 − 2 2 − 8 + 2 = (Simplify your answer.)

Factor out the greatest common factor.

15x + 21x2

15x + 21x2 =

Factor. Check by multiplying.

2a − 4

2a − 4 =

Simplify the product.

(x )(x )+ 6 + 4

(x )(x )+ 6 + 4 =

Multiply.

(5x − 8)(4x + 5)

(Simplify your answer.)(5x − 8)(4x + 5) =

Multiply.

( x )( x )3 + 5 7x2 + 9 + 2

The answer is . (Simplify your answer.)

Find the product.

(8x + 4)2

(8x + 4)2 =



97.

98.

99.

100.

101.

102.

103.

104.

Factor the expression.

x + 15x + 442

x + 15x + 44 =2

Factor the trinomial completely.

x + x − 302

x + x − 302 =

Complete the factoring.

+ x + x2 13 42

+ x + = (x + )( )x2 13 42 6


n − 30n + 562

n − 30n + 562 =


x − 8x − 202

x − 8x − 202 = (Type your answer in factored form.)

Factor the trinomial.

b + 11bz + 18z2 2

b + 11bz + 18z2 2 =


2y + 9y + 92

2y + 9y + 92 = (Type your answer in factored form.)

Factor.

6x − x − 122

6x − x − 122 =



105.

106.

107.

108.

109.

110.


12y + 17y + 62

12y + 17y + 62 = (Type your answer in factored form.)


5x + 19x − 42

5x + 19x − 42 = (Type your answer in factored form.)


x − 92

x − 92 = (Type your answer in factored form.)


36b2 − 25

36b2 − 25 = (Type your answer in factored form.)

Find the GCF of the first two terms and the GCF of the last two terms for the polynomial.

2p + 4p + 3p + 63 2

The GCF of the first two terms is . (Simplify your answer.)

The GCF of the last two terms is . (Simplify your answer.)

Determine if the graph is a function.

Using the vertical line test, is this the graph of a function?

No

Yes

-10 -8 -6 -4 -2 2 4 6 8 10

-10

-8

-6

-4

-2

2

4

6

8

10

x

y



1. 37x − 12.27

2. 335

3. 4

4. − 7

5. − 45

6. 18x + 24

7. 23x2

8. 4b c + 2b c2 4 4 2

9. − 2

10. 238

11. − 4

12. 13

13. 2

14. − 7

15. − 2

16. (1) is an identity

17. A. c = − 9

18. dT + v

mwalsh

Placed Image



19. A − PPR

20.

F. -3 -2 -1 0 1 2 3 4 5

21. C. x ≥ 4

22. − 16

B. -18 -17 -16 -15 -14

23. − 8

B. -10 -9 -8 -7 -6

24. G. s + 6588 ≥ 14,000

(1) ≥

7412

25. (1) <

− 12

C. -20 -18 -16 -14 -12 -10 -8 -6 -4

26. (1) <

4

27. (1) ≥

2

28. x ≤ 6

29. A. n− 7 < < 3

B. -10 -8 -6 -4 -2 0 2 4 6 8 10



30. 2 < p ≤ 6

E. -10 -5 0 5 10

31. D. t or t< − 7 > 3

C. -10 -8 -6 -4 -2 0 2 4 6 8 10

32. A. t = − 7,7 (Simplify your answer. Use a comma to separate answers as needed.)

C. -10 -5 0 5 10

33. A. x = − 6,6 (Type an integer or a simplified fraction. Use a comma to separate answers as needed.)

A. -15 -10 -5 0 5 10 15

34. A. x = 13,1 (Simplify your answer. Use a comma to separate answers as needed.)

35. D. x− 12 < < 12

A. -15 -10 -5 0 5 10 15

36. B. n or n≤ − 3 ≥ 3

C. -10 -8 -6 -4 -2 0 2 4 6 8 10



37.

-10 -8 -6 -4 -2 2 4 6 8 10

-10

-8

-6

-4

-2

2

4

6

8

10

x

y

38. B. b d= 41.95 + 58.5

436.05

39.

A.

4

5

6

1

4367515

No

40. 31

41. Yes

42. A. The slope of the line is .5 (Type an integer or a simplified fraction.)

43. A. The slope of the line is . (Type an integer or a simplified fraction.)− 4

44. A. The slope of the line is . (Type an integer or a simplified fraction.)0

45. A. The slope of the line is . (Type an integer or a simplified fraction.)0



46.

-10 -8 -6 -4 -2 2 4 6 8 10

-10

-8

-6

-4

-2

2

4

6

8

10

x

y

47. A. m (Type an integer or a fraction.)= − 6

A. b (Type an integer or a fraction.)= 8

48. A. The slope is .0

A. The y-intercept is .2

49.y = − 5x +

43

50. y = − 3x + 3

51. y = − x + 3



52.

-10 -8 -6 -4 -2 2 4 6 8 10

-10

-8

-6

-4

-2

2

4

6

8

10

x

y

53.

-10 -8 -6 -4 -2 2 4 6 8 10

-10

-8

-6

-4

-2

2

4

6

8

10

x

y

54. y − 1 = 3(x + 4)

55.y − 8 = − (x + 12)

13

y = − x + 413

56. − 3x + y = 7

57. 4x + 7y = − 49



58. y = − 5x − 52

59.x

47

60. Perpendicular

61.

D.

-10 10

-10

10

x

y

62.

A.

-10 10

-10

10

x

y

63.

B.

-10 10

-10

10

x

y



64.

-10 -8 -6 -4 -2 2 4 6 8 10

-10

-8

-6

-4

-2

2

4

6

8

10

x

y

A. The solution of the system is .(2, − 1) (Type an ordered pair.)

65.

-10 -8 -6 -4 -2 2 4 6 8 10

-10

-8

-6

-4

-2

2

4

6

8

10

x

y


66. (4,12)

67. ( − 6,6)

68. 3

5



69. (4,0)

70. (6,3)

71.

-10 -8 -6 -4 -2 2 4 6 8 10

-10

-8

-6

-4

-2

2

4

6

8

10

x

y

72.

-10 -8 -6 -4 -2 2 4 6 8 10

-10

-8

-6

-4

-2

2

4

6

8

10

x

y



73.

-10 -8 -6 -4 -2 2 4 6 8 10

-10

-8

-6

-4

-2

2

4

6

8

10

x

y

74.

-10 -8 -6 -4 -2 2 4 6 8 10

-10

-8

-6

-4

-2

2

4

6

8

10

x

y

75.A.

x7

y3

76. D. xy2

77.A.

x6

y4

78. 1



79. 4 − 6

80. d8

81. − 15z19

82. x27

83. z21

84. v19

85. A. 77

73= 74 (Type exponential notation with positive exponents.)

86. z

87. 3xy4

88. t13

81m3

89. 6x + 8x − 14x + 83 2

90. 6x + 6x − 2x + 8x − 64 3 2

91. 3x(5x + 7)

92. 2(a − 2)

93. x + 10x + 242

94. 20x − 7x − 402

95. 21x + 62x + 51x + 103 2



96. 64x + 64x + 162

97. (x + 11)(x + 4)

98. (x + 6)(x − 5)

99. x + 7

100. (n − 2)(n − 28)

101. (x − 10)(x + 2)

102. (b + 2z)(b + 9z)

103. (y + 3)(2y + 3)

104. (2x − 3)(3x + 4)

105. (3y + 2)(4y + 3)

106. (x + 4)(5x − 1)

107. (x + 3)(x − 3)

108. (6b + 5)(6b − 5)

109. 2p2

3

110. Yes

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