Alg.1MidTermReview
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
____
____
1. Evaluate u + xy, for u = 10, x = 8, and y = 4.
a. 84
b. 42
c. 72
d. 22
2. –9z – 23z
a. 14
c. –32z
d. 14z
b. 32z
3. Which set of numbers is the most reasonable to describe the number of desks in a classroom?
a. whole numbers
c. rational numbers
b. irrational numbers
d. integers
Write a function rule for each table.
____
4.
Days
1
2
3
4
Cost to Rent a
Truck
38
60
82
104
a. c = 22d + 16
b. c = 16d + 22
____
c. c = 22d + 22
d. c = 22d
5. A 16-oz bottle of water costs $1.12. What is the cost per ounce?
a. $2.29/oz
b. $0.07/oz
c. $0.70/oz
d. $0.23/oz
Simplify the expression.
____
____
____
6.
a. 36
b. 23
c. 28
d. 15
a. 12
b. –11
c. –12
d. 11
8. Evaluate x(–y + z) for x = –4, y = 7, and z = –3.
a. –31
b. 25
c. –16
d. 40
7.
Solve the equation.
____
9. 18 = –d + 9
a. –12
____ 10. 6x + 8 = 5x + 2
a. –1
b. 9
c. 3
d. –9
b. –6
c. –9
d. –4
____ 11.
a. –80
b. 16
c. –16
d. 1.8
____ 12. 40 – 18 + 8m = 102
a. –10
b. 10
c. 8
d. 13
____ 13. 5(y + 7) = 75
a. 8
b. 22
c. 9
d. –22
b. 0
c. –9
d. –10
c.
d. 4
____ 14.
a. 3
____ 15. 6d + 2d – 6d + 9 = 2d
a. 0
b.

9
4
3
4
Find the slope and y-intercept of the line.
____ 16.
1
y= x–3
6
a. 1
; –3
6
b.
–3;
c. 6; 3
1
6
d.
3;
1
6
The pair of figures is similar. Find x. Round to the nearest tenth if necessary.
____ 17.
15 ft
x
7 ft
2 ft
Drawing not to scale
a. 0.9 ft
b. 4.3 ft
c. 0.1 ft
d. 3.5 ft
____ 18. What equation models the data in the table if d = number of days and c = cost?
Days
2
3
5
6
Cost
10
15
25
30
____ 19. Find the measure of
. (Hint: The sum of the measures of the angles in a triangle is
.)
x°
68°
26°
a.
b.
c.
d. 8
____ 20. A map has a scale of 1 cm : 21.5 km. Two cities are 6.7 cm apart on the map. To the nearest tenth of a
kilometer, what is the actual distance corresponding to the map distance?
a. 144.1 km
b. 251.6 km
c. 165.6 km
d. 150.8 km
____ 21. Simplify
a.
.
b.
9
7
c.
49
9
____ 22. Is
rational or irrational?
a. rational
9
49
d.
81
7
d.

b. irrational
Find the slope of the line.
____ 23.
y
5
4
3
2
1
–5
–4
–3
–2
–1
–1
1
2
3
4
5
x
–2
–3
–4
–5
a. 2
b.
1
2
c.
2
1
2
____ 24. The formula
gives the velocity v in feet per second of an object that has fallen h feet. Find the
velocity of an object that has fallen 83 feet. Round to the nearest hundredth.
a. 72.88 ft/sec
b. 5312 ft/sec
c. 12.88 ft/sec
d. 51.54 ft/sec
Find the x- and y-intercept of the line.
____ 25. 7x – 2y = 56
a. x-intercept is 7; y-intercept is –2.
b. x-intercept is –2; y-intercept is 7.
c. x-intercept is –28; y-intercept is 8.
d. x-intercept is 8; y-intercept is –28.
Graph the inequality.
____ 26. x  4
a.
–5
–4
–3
–2
–1
0
1
2
3
4
5
–5
–4
–3
–2
–1
0
1
2
3
4
5
–5
–4
–3
–2
–1
0
1
2
3
4
5
–5
–4
–3
–2
–1
0
1
2
3
4
5
b.
c.
d.
Find the slope of the line that passes through the pair of points.
____ 27. (4, 6), (8, 3)
a. 3
4
b.
4
3
c.

c.
m
d.
3
4

4
3
Write an inequality for the graph.
____ 28.
–5
a.
–4
m
–3
–2
–1
0
1
2
b.
1
2
3
4
m
5
1
2
1
2
Write the slope-intercept form of the equation for the line.
____ 29.
y
5
4
3
2
1
–5
–4
–3
–2
–1
–1
1
2
3
4
5
x
–2
–3
–4
–5
a.
4
y= x1
3
b.
3
y= x1
4
c.
4
y= x1
3
d.
3
y= x1
4
d.
m>
1
2
State whether the slope is 0 or undefined.
y
____ 30.
5
4
3
2
1
–5
–4
–3
–2
–1
–1
1
2
3
4
5
x
–2
–3
–4
–5
a. undefined
b. 0
Solve the inequality.
____ 31.
a.
b.
c.
d.
a. 60
b. 1.7
c. 96
d. 9.6
a.
b. 70
c. 62
d. 66
Solve the proportion.
____ 32.
____ 33.

26
5
Are the graphs of the lines in the pair parallel? Explain.
____ 34. y = 2x + 8
4x – y = –4
a. Yes, since the slopes are the same and the y-intercepts are different.
b. Yes, since the slopes are the same and the y-intercepts are the same.
c. No, since the slopes are different.
d. No, since the y-intercepts are different.
Write a compound inequality that the graph could represent.
____ 35.
–5
a.
b.
–4
–3
–2
–1
0
1
2
3
4
5
c.
d.
Solve the inequality. Then graph your solution.
____ 36. s – 4 > –2
a. s > –2
–16
c. s >–6
–12
–8
–4
0
4
8
12
–12
–8
–4
0
4
8
12
–8
–4
0
4
8
12
16
–12
–8
–4
0
4
8
12
16
–12
–8
–4
0
4
8
12
16
–6
–4
–2
0
2
4
6
8
c. k < –2
–12
–8
–4
0
4
8
12
–16
16
b. k < 2
–8
–16
16
____ 37. –2k < –4
a. k > –2
–16
–12
d. s < –2
b. s > 2
–16
–16
16
d. k > 2
–6
–4
–2
0
2
4
6
–8
8
Determine whether the given lengths can be sides of a right triangle.
____ 38. 18 m, 24 m, 30 m
a. no
b. yes
Write an equation for the line that is parallel to the given line and that passes through the given point.
____ 39. y = –5x + 3; (–6, 3)
a. y = –5x + 27
b. y = –5x – 27
c. y = 5x – 9
d. y = –5x + 9
Simplify the radical expression.
____ 40.
a.
b.
c.
d.
a. 6
b.
c. 3
d. 6 2
____ 41.
Find the length of the missing side. If necessary, round to the nearest tenth.
____ 42.
34
31
b
a. 46
b. 32.5
c. 14
d. 65
Write the equation of a line that is perpendicular to the given line
and that passes through the given point.
____ 43.
; (–6, 5)
a.
c.
b.
d.
Tell whether the lines for each pair of equations are parallel, perpendicular, or neither.
1
____ 44. y = x + 6
3
12x + 4y = –4
a. parallel
b. perpendicular
c. neither
Write an equation of a line with the given slope and y-intercept.
____ 45. m = –5, b = 6
a. y = –5x – 6
b. y = 6x – 5
c. y = 5x + 6
d. y = –5x + 6
____ 46. A car is driving at a speed of 70 mi/h. What is the speed of the car in feet per minute?
a. 369,600 ft/min
c. 4,200 ft/min
b. 3,010 ft/min
d. 6,160 ft/min
____ 47. A line passes through (1, –5) and (–3, 7).
a. Write an equation for the line in point-slope form.
b. Rewrite the equation in slope-intercept form.
a. y – 5 = 3(x + 1); y = 3x + 8
c.
d. y + 5 = –3(x – 1); y = –3x – 2
b.
____ 48. Find the value of y.
a. 18
b. 1.8
c. –9
d. 9
____ 49. Find the unit rate for number of parts manufactured per hour if 1744 parts are made in 3 hours. Round to the
nearest integer.
a. 555 parts/h
b. 598 parts/h
c. 632 parts/h
d. 581 parts/h
____ 50. Write the conversion factor for seconds to minutes. Use the factor to convert 135 seconds to minutes.
a.
c.
; 3.5 min
; 2.25 min
b.
; 1.5 min
d.
; 2 min