Algebra 1
Review for Final Exam Multiple Choice
Name _________________________________
Simplify the expression.
1.
(2 x 2 )(5x 9 )
a)  10x
2.
b) 10x
18
c)  10x
18
d) 10x
11
(3kj 4 ) 2 (kj) 4
a)
3.
11
a 4b10
a 6b5
9k 6 j 12
2 5
a) a b
b)
3k 6 j 12
b)
c)
b5
a2
9k 5 j 12
d)
2
c) a b
2
9k 6 j 10
d)
b2
a2
Solve the equation.
4.
2x 12  0
a) 11
b) -5
c) 2
d) -6
5.
2 x  5  5x  7
a) 9
b) -4
c) -3
d) 12
Solve and graph the inequality.
6.
 2x  10  2
Find the slope of the line though the pair of points.
7.
L(8, -3) and K(2, 9)
a) -2
b) 2
c)
3
5
d)
1
2
8. Which equation has a slope of -3 and a y-intercept of 5?
a) y = -3x – 5
9.
b) y = 3x – 5
a) y = 4x - 3
b) y = -3x + 4
c) y = -4x + 3
d) y = 3x - 4
a) (-6, 0) and (0, -42)
b) (-42, 0) and (0, -6)
c) (-7, 0) and (0, -1)
d) (-1, 0) and (0, -7)
Write a rule for the linear function in the graph.
a) y = -4x + 4
c) y =
1
x4
4
Find the equation of the line.
12.
d) y = 3x + 5
Write the equation of the line that goes through the points (3, 5) and (4, 8).
Find the x and y intercepts of the line.
10.
 x  7 y  42
11.
c) y = -3x + 5
a) y 
1
x 1
2
c) y  2 x  1
b) y  2 x  1
d) y 
1
x 1
2
b) y = 4x + 4
d) y = 4x - 4
13. Solve. 3(x – 5) ≥ -15
a) x ≥ 0
b) x ≥ -10
14. Find the length of the missing side. If necessary,
round to the nearest tenth.
15. Multiply.
c) x ≤ 0
d) x ≥ 10
a) 14.9
b) 15.1
c) 13
d) 17
16. Multiply.
(x – 5)(x + 2)
(x + 4)2
a) x2 + 3x – 10
b) x2 – 3x – 10
a) x2 + 16
b) x2 + 8x + 8
c) x2 – 1x + 10
d) x2 – 3x + 10
c) x2 + 8x + 16
d) x2 – 16
17. Identify the vertex of the graph. Tell whether it is a maximum or minimum.
a) (2, 1) maximum
b) (1, 2) minimum
c) (1, 2) maximum
d) (2, 1) minimum
a) -16
c) -20
18. Evaluate a - bc for a = 2, b = 6, and c = -3
b) 12
d) 20
19. Find the linear inequality shown in the graph.
20. What is the solution of the system of equations?
a) (7, 3)
b) (1, -1)
c) (3, 7)
d) (1, 3)
a) 2
b) 4
21. Solve for a. 2(5 + 4a) = 18 + 4a
c) 7
d) 0.75
22. Solve the proportion for c.
a) -1
b) -3.5
c) 6.5
23. Use the diagram at the right. Find the width w that the box
needs to be for the fishing rod to fit flat inside of it.
a) 2.6
b) 1.44
c) 0.4
d) 1.2
d) -2
24. Match each equation with the graph.
25. Match the quadratic equation to the graph.
y  2 x  1 _____________
a)
y  2 x  4 ____________
b)
y  2 x  1 ____________
c)
y  2 x  4 ____________
d)
26. Evaluate 2 + 5(x + 6)3 when x = -2.
a) 322
b) 448
27. Solve for x.
c) 26,992
d) 82
28. Solve for x.
a) 8
b) 7.2
a) 2.75
b) 1.8
c) 6
d) 9.6
c) 2
d) 1
29. You traveled 80 miles in 1.3 hours. Approximately how many miles will you travel in 4 hours?
a) 320
b) 245
c) 15
d) 80