MA 08 Course Review 1/27
Multiple Choice
Identify the choice that best completes the statement or answers the question.
Solve the equation. Check your solution.
____
____
1.
10
1
= +
11
3
a. 3
11
b. 19
33
41
33
d. 9
11
2.
a. 14
b. 40
____
c.
c. 238
d. 42
3. What value of x makes the equation below true?
a. 7.25
b. 5.8
c. 2.75
d. 2.2
Name the word that matches the definition given.
____
4. Matching angles of two congruent figures
a. congruent figures
b. corresponding angles
c. corresponding sides
d. transformation
e. image
f. translation
____
5. The ratio of the side lengths of the image of a dilation to the corresponding side lengths of the original figure.
a. center of rotation
d. dilation
b. angle of rotation
e. center of dilation
c. similar figures
f. scale factor
____
6. A polygon in which all the sides are congruent, and all the interior angles are congruent.
a. concave polygon
d. interior angles of a polygon
b. regular polygon
e. exterior angles of a polygon
c. indirect measurement
f. convex polygon
____
7. A set of two or more linear equations in the same variables, also called a linear system.
a. literal equation
d. solution of a system of linear equations
b. solution of a linear equation
e. function
c. system of linear equations
f. relation
____
8. A function whose graph is a nonvertical line; a function that has a constant rate of change.
a. linear function
d. mapping diagram
b. nonlinear function
e. function
c. relation
f. function rule
The two triangles are similar. Find the measure of the angle.
J
Q
R
33°
P
L
____
57°
K
9.
a. 180°
b. 90°
c. 33°
d. 57°
Find the value of x.
b
____ 10.
c
a
x°
a. 105
b. 109
d
109°
c. 71
d. 19
Find the slope of the line.
y
____ 11.
4
(–1, 3)
(1, 3)
2
–4
4
x
–2
–4
a. 1
b. –0
c. –1
d. –2
____ 12. Vivian charges $4 for bracelets and $5 for earrings. Her cost to make x bracelets and y earrings is $60. The
equation
represents this situation. The graph of this equation is a line. What is the slope of the
line?
a. –4
c. 0.8
b.
d. 12
Graph the line with the given slope that passes through the given point.
3
4
____ 13.
a.
c.
y
–10 –8
–6
–4
y
10
10
8
8
6
6
4
4
2
2
–2
–2
2
4
6
8
10
x
–10 –8
–6
–4
–2
–2
–4
–4
–6
–6
–8
–8
–10
–10
b.
2
4
6
8
10
x
2
4
6
8
10
x
d.
y
–10 –8
–6
–4
y
10
10
8
8
6
6
4
4
2
2
–2
–2
2
4
6
8
10
x
–10 –8
–6
–4
–2
–2
–4
–4
–6
–6
–8
–8
–10
–10
Solve the system of linear equations by substitution. Check your solution.
____ 14.
a.
b.
c.
d.
____ 15. Which equation does not belong with the other three?
a. 12 = 7xy
b.
7
y= x
12
c. 60y = 35x
d. 12y = 7x
____ 16. Describe the relationship between the two quantities.
Speed
Bicycle Ride
Time
a.
b.
c.
d.
The bike speed stays the same.
The bike speed increases over time at an decreasing rate.
The speed of the bicycle increases quickly, then stays at a constant speed.
The bike speed is constant at first and then increases steadily as time passes.
Numeric Response
Solve the equation. Check your solution.
17.
18. Find the perimeter of the square.
19. The cost (in dollars) of making d calculators is represented by
when the cost is $273?
. How many calculators are made
A polygon is regular if each of its sides has the same length. Find the perimeter of the regular polygon.
20.
6 x–4
5x + 4
21.
4x – 6
6( x – 3)
22. The scale on a map is 1 in. : 50 mi. The actual distance between two cities is 350 miles. What is the distance
between the cities on the map?
23. The ratio of the side length of Square A to the side length of Square B is 3 : 5. The perimeter of Square B is
60 feet. What is the area of Square A?
24. The cost of the piece of granite is $137.70. What would you expect to pay for a similar piece of granite that is
108 inches by 60 inches?
15 in.
27 in.
25. Find the value of x in the roof truss.
140 °
x°
x°
26. Find the measure of the exterior angle of the polygon.
v°
55°
55°
v°
27. The sum of the interior angle measures in a regular polygon is 1800°. What is the measure of one of the
interior angles of the polygon?
Find the slope of the line.
28.
29. What is the slope of a line that is perpendicular to the line in below?
30. One week you spent $24 on 6 subway tickets and 4 express bus tickets. The next week you spent $27 on 3
subway tickets and 7 express bus tickets. How much will it cost you to buy 5 subway tickets and 2 express
bus tickets this week?
Find the value of y for the given value of x.
31.
; x=2
Short Answer
32. You rent a canoe for $5 per hour. Your cost before the tax is added is $12.50. Write and solve an equation to
find the number of hours that you rented the canoe.
33. Are there any values of b for which the areas of the figures are the same? Explain.
6 cm
3 cm
( b + 3 ) cm
b cm
Tell whether the shaded figure is a reflection of the nonshaded figure.
34.
The shaded figure is congruent to the nonshaded figure. Describe two different sequences of
transformations in which the nonshaded figure is the image of the shaded figure.
35.
Tell whether the shaded figure is a dilation of the nonshaded figure.
36.
37. Is a move in checkers an example of a translation? Explain.
Name the corresponding angles and the corresponding sides of the similar figures.
38.
F
V
W
X
E
D
Find the measure of the exterior angle.
39.
Which two lines are parallel? How do you know?
y
40.
(2, 3)
2
(–5, 1)
(–2, 1)
–6
–4
(4, 1)
–2
2
x
4
(0, –1)
–2
(–3, –2)
Complete the table. Plot the two solution points and draw a line exactly through the two points. Find a
different solution point on the line.
41.
x
y = 2x – 1
42. The graph shows the cost of the fuel used to drive a scooter.
y
0.9
Cost (dollars)
0.8
0.7
0.6
(8, 0.56)
0.5
0.4
(5, 0.35)
0.3
0.2
0.1
1
2
3
4
5
6
7
8
9
10
11
x
Miles driven
Find the slope of the line.
43.. Explain the meaning of the slope as a rate of change.
44. There are 24 pens in a desk drawer. The pens are either red or blue. The ratio of red pens to blue pens is 5 : 1.
How many pens are red? How many pens are blue?
45. Your league is considering two schedules. In one schedule, your team plays 4x games. In the other schedule,
your team plays
games. Is it possible that your team plays the same number of games for each
schedule? Explain.
46. Write an equation that describes the function shown by the table.
Find the value of x for the given value of y.
47.
;
Does the input-output table represent a linear function? Explain
48.
3
9
Input, x
Output, y
7
11
11
13
15
11
Graph the data in the table. Decide whether the function is linear or nonlinear.
49.
x
y
1
9
2
18
3
27
4
36