Algebra Benchmark Review #1 Name________________________________ Date________ Block______

Algebra Summative Benchmark Review HWTopics to review: Multi-step equations and inequalities, compound inequalities, word problems,literal equations, functions and linear graphs, writing equations of lines, parallel and perpendicular lines, direct and inverse variation and systems of equations and inequalities. 1. Simplify the following expression if x=−2

x2−42

2. Find the solution to the following system using elimination.

{3x+5 y=114 x−3 y=5

3. Examine the inequality that has been solved below:

Step 1: 10<x+6Step 2: 10+(−6 )<x+6+(−6)Step 3: 4<x+0Step 4: 4<x

What property was used between step 1 and 2?

4. What is the slope of the line? −13y=x+7

5. What is the slope of the line? 4 x+6 y=3

6. Solve for x. 3 ( x−6 )+4=25−6(x+2)

7. Graph the following inequality:2 x+3 y ≤−6

8. Solve the following inequality and write two solutions.

3(x+6)>2(x−4)

9. Emma has 36 coins worth $7.00 in quarters and nickels. Write a system and solve for how many coins of each type Emma has.

10. Given the following system of inequalities, which points would work as a solution?

{ y<2x+53x− y≤7

11. What is the slope of the graph below?

12. Solve the following equation for b1.

A=12h(b1+b2)

13. Write the equation of the graphs below.

14. Solve the

(0,0)

(3 ,−2)

(−2 ,−6)(4 ,−3)

(−3 ,0)(−2 ,1)

following equation for x. 3x−67

=12x+614

15. Write an equation in slope intercept form that goes through the given two points.

A) (−4 ,3 )∧(−4 ,−2)

B) (−6 ,−2 )∧(−7 ,4 )

16. Find the

root of f ( x )=23x+6

17. When f ( x )=x2+2 x+6find (−4) .

18. Solve and graph the inequality below:

−8← x−4≤5

19. Given 5 x+7 y=4, write one line that would be parallel and one line that would be perpendicular.

20. The points below represent a direct variation. Write the equation.

{(2 ,−12 ) , (−8 ,48 ) ,(9 ,−54) }

21. Determine the domain and range for each relation. Then, determine if it is a function.

a. {(−3 ,5 ) , (5 ,5 ) , (−3 ,2 ) ,(5 ,3) }

b. c. d. e.

22. Name the x-intercept and y-intercept for all the graphs shown below.