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Algebra 1 Midterm Reivew

+TRANSLATE EACH SENTENCE:

“5 times a number minus 4”

Three less than a number is 14

The sum of 4 times a number and negative 3

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5x − 4

€

x − 3 =14

€

4x + (−3)

+Find the value of each expression:Order of Operations

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4(5 − 3) −12

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4 + (36 ÷ 9) − 3• 4

PEMDAS

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4(2) −12

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8 −12

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−4 €

4 + (4) − 3• 4

€

4 + (4) −12

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8 −12

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−4

+Evaluate each expression if r = 8 and s = -5.

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2(r + s)

r

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−3(2s − r2)s −2r

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2((8) + (−5))

(8)

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2(3)

(8)

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=6

8

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=3

4

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−3(2(−5) − (8)2)(−5) −2(8)

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−3(−10 −64)(−5) −2(8)

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−3(−74)(−5) −2(8)

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222

(−5) −16

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222

−21

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−747

+Name the property shown by the statement:

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(2 + 3) + 4 = 2 + (3+ 4)

ASSOCIATIVE

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5 • 4 = 4 • 5

COMMUNATIVE €

x + y = y + x

COMMUNATIVE

+Simplify each expression

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2(3k + 4 j) − 3k

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4(a −2b) − 3(2a+5b)

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6k +8 j − 3k

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3k +8 j

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4a −8b −6a −15b

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−2a −23b

+Distance traveled d equals the product of the rate r and the time t. Given the rate and time traveled, find the distance traveled:

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d = r • t1. Rate = 15 miles per hour 2. Rate = 36 miles per hour Time = 3 hours time = 1.5 hours

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d = (15)(3)

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d = 45miles

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d = (36)(1.5)

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d = 54miles

+The numbers 1-6 were put into a coffee mug and pick out one at a time and then replaced after being picked. The table below shows how many times each number was picked.

How many times was a number greater than 3 picked?

8

Which number was picked the most frequently?

2

If you lost the game every time you picked a number fewer than 5, how many times did you lose?

15

+Annie buys a pair of pants for $25 and several t-shirts for $8 each. Write an expression for her total cost if she buys n t-shirts.

+Which of the following statements is true?1. 2.

3. 4.

+Name the ordered pair for each letter, and what quadrant:

+Which quadrant is each letter in?

+Find the sum of

+Simplify

+Evaluate when x = -6 and y = -4

+Over seven years, the number of books in a school library increased from 1160 to 2000. What was the average change in the number of books in the library for each of the seven years?

+Solve

+Solve

+What is the value of t in each equation: 1. 2.

3. 4.

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4

5t = −3

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2

3t = −16

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9

2t = 27

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4

5t = 40

+Which value of “n” makes each equation true:1. 2.

3. 4.

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6n −8 = 3n +12

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n +2 = 3n −5

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4n = 3n −11

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−8 = 3n +6

+Evaluate each function if a = 4, b = -1, and c = -2

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(−2ab) ÷ 3a

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(4ac) ÷ (3bc) − 4

+Solve each equation:

1. 2.

3. 4.

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2x + 3 = −4

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x − 7 = −11

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3x − 4 = 2

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3x +6 = 5x − 4

+Solve each absolute equation:

1. 2.

3. 4.

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x −5 = 2

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a+ 7 = −11

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x −10 = 4

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x +8 = 0

+Which of the following is the graph of ?

+Which of the following is the graph of ?

+Do the following percent problems:

1. What is 70% of 135 2. What percent is 48 of 96

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is

of=%

100

€

x

135=70

100

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70(135) =100x

x = 94.5€

48

96=x

100

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96x = 48(100)

x = 50%

+What is the slope of each graph:

-2

3

m = -2/3 m = 1

+What is the y-intercept of the graph of each equation:

1. 3x – 6y = 12 2. x + 5y = -25

To find the y-intercept, you plug in ZERO FOR X

3(0) – 6y = 12 -6y = 12 -6 -6

y = -2

(0,-2)

(0) + 5y = -25 5y = -25 5 5

y = -5

(0,-5)

+Determine the slope of the line through points given:

1. (4,-8) and (3,6) 2. (0,5) and (-3,-2)

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m =y2 − y1x2 − x1

=6 − −8

4 − 3=14

1=14

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m =y2 − y1x2 − x1

=−2 −5

−3 −0=−7

−3=7

3

+Graph each equation: 2x – 4y = 12 x + 3y = -9I WOULD GRAPH USING X AND Y INTERCEPTS