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Ch.2 Review Algebra

Total questions: 90

Worksheet time: 3hrs 0mins

Name
Class
Date
1.
Solve the literal equation for the given variable.
a)
2A/h
b)
2/(h)
c)
2Ah
d)
Ah/2
2.
S = 3F - 24  Solve for F
a)
F = (S + 24)/3
b)
F = S/3 + 24
c)
F = 3S + 24
d)
F = 3(S + 24)
3.
ax + c = R
(solve for x) 
a)
ax = R + c
b)
ax = R - c
c)
x = a(R-c)
d)
x = (R-c)/a 
4.
Solve:
y = mx + b , for b
a)
y - mx = b
b)
y + mx = b
c)
y/mx = b
d)
y + mx = -b
5.
Solve for x:
a)
x = yb - v
b)
x = by - v
c)
x = by + v
6.
Solve for c:
3c2 - 5 = A
a)
c = ±√(A+5)/3)
b)
c = ±A + 5
c)
c = ±√A + ⁵/₃
d)
c = ±⁵/₃
7.
E = mc2     solve for m
a)
m = sqrt(E/c)
b)
m = sqrt(E)/c
c)
m = E/c2
d)
m = money
8.
Solve:
V = LWH, for W
a)
V/(LH) = W
b)
V-LH = W
c)
V + LH = W
d)
V/H = W
9.
-8<2(x+4) or -3x+4>x-4
a)
No solutions
b)
x<-8 or x<2
c)
 x>-8 or x<2
d)
x<-8 and x<2
10.
0 < x + 7 < 9
a)
-7<x   and   x<2
b)
-7<x   or   x<2
c)
-7>x   and   x>2
d)
-7>x  or   x>2
11.
a)
A
b)
B
c)
C
d)
D
12.
a)
A
b)
B
c)
C
d)
D
13.
What inequality is graphed? 
a)
x > 2 and x ≤ -3
b)
x > 2 and x < -3
c)
x > 2 or x ≤ -3
d)
x > 2 or x < -3
14.

What inequality is graphed?

a)

x > 2 and x < 4

b)

2 ≤ x ≤ 4

c)

x > 2 or x < 4

d)

x ≥ 2 or x ≤ 4

15.
Solve: 
-4x + 1 ≤ 21 and 5x + 2 < 22
a)
x > -5 or x ≤ 4
b)
x ≥ -5 or x < 4
c)
x > -5 and x ≤ 4
d)
x ≥ -5 and x < 4
16.
Solve:  
3x + 2 < -4  or  4x + 4 > 24
a)
x < -2  or  x > 5 
b)
x < 2  or  x > 5
c)
x < -2  and  x > 5 
d)
x < 2  and  x > 5
17.

Your taxi fare is $2.50 per mile, plus a $5 fee. You have a budget of $20. Which inequality models this scenario?

a)

5x + 2.50 ≤ 20

b)

2.50x + 5 < 20

c)

2.50x + 5 ≤ 20

d)

7.50x < 20

18.
You take a trip to the bowling alley, where each game cost $2, plus you plan to spend $10 on food.  You can spend at most $25.  Which inequality models this scenario?
a)
2x + 10 ≥ 25
b)
2x + 10 > 20
c)
2x + 10 ≤ 25
d)
2x + 10 < 25
19.
Solve: 
-4x + 1 ≤ 21 and 5x + 2 < 22
a)
x > -5 or x ≤ 4
b)
x ≥ -5 or x < 4
c)
x > -5 and x ≤ 4
d)
x ≥ -5 and x < 4
20.
Solve: 
3x + 2 < -7  or  -4x + 5 < 1
a)
x < -3  and  x < 1
b)
x < -3  and  x > 1
c)
x < -3  or  x < 1
d)
x < -3  or  x > 1
21.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥ 
22.
When you graph an inequality, you used a closed dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
23.
Write an inequality for Graph 4.
a)
-2 < x < 5
b)
x < -2 or x > 5
c)
x ≥ -2 OR x < 5
d)
-2 ≤ x ≤ 5
24.
Write an inequality for Graph 3.
a)
x ≤ -2 AND x > 5
b)
x ≤ -2 OR x > 5
c)
x ≥ -2 OR x < 5
d)
-2 ≤ x < 5
25.
Solve and graph:
a)
A
b)
B
c)
C
d)
D
26.
Write an inequality for Graph 2.
a)
-2 ≤ x < 5
b)
x ≤ -2 AND x > 5
c)
x ≥ -2 OR x < 5
d)
-2 ≤ x ≤ 5
27.

Which compound inequality is graphed above?

a)

x >5 OR x< -2

b)

x >5 OR x> -2

c)

x< 5 AND x> -2

d)

x ≥5 AND x< -2

28.
When graphing "AND" inequalites, shading looks like___
a)
Shading that always connects the 2 dots.
b)
Shading that always points away from each dot
c)
2 shaded arrows pointing in same direction(both left)
d)
2 shaded arrows pointing in same direction (both right)
29.
Four times a number, increased by 6 is greater than 22.  Which inequality models this scenario?
a)
4x - 6 > 22
b)
4x + 6 < 22
c)
4x + 6 ≥ 22
d)
4x + 6 > 22
30.

−6 < 2t − 5 < 3

a)

−0.5 < t < 1

b)

0.5 < t < −1

c)

−11/2 < t < 2

d)

11/2 < t < −2

31.

When solving inequalities you must _________________ the inequality when ____________________ by a negative.

a)

flip; dividing

b)

ignore; multiplying and dividing

c)

flip; multiplying

d)

flip; multiplying and dividing

32.
Could x = 3 be solution to the inequality 
6 < x + 5 ≤ 11? 
a)
Yes 
b)
No 
33.
Write the expression. 
Five dollars less than Tim's pay. 
a)
p + 5
b)
p - 5
c)
5p
d)
p ÷ 5
34.
Write the expression. 
Twelve times the number of feet.
a)
f + 12
b)
f - 12
c)
12f
d)
12 ÷ f
35.
Write the expression. 
The cost of 3 CDs and a $10 DVD
a)
3 + c + 10 + d
b)
3c + 10
c)
3c - 10 - d
d)
3 + c - 10 
36.
Write the expression.
Four times as many apples. 
a)
4 + a 
b)
4a 
c)
4 - a 
d)
a - 4
37.
Write the expression.
$5 less on dinner than James spent.
a)
5 + j 
b)
j x 5 
c)
j - 5 
d)
j ÷ 5 
38.
What is the sum of 14 and x?
a)
x - 14
b)
14(x)
c)
14 + x
d)
14/x
39.
What is the quotient of sixteen and a number?
a)
n ÷ 6
b)
6 ÷ n
c)
n ÷ 16
d)
16 ÷ n
40.
What is a number decreased by seventeen?
a)
n + 17
b)
n - 17
c)
17 + n
d)
17 - n
41.
What is 5 less than the product of 6 and s?
a)
6s - 5
b)
5 - 6s
c)
5 + 6 - s
d)
6 - s -5
42.
twice h increased by 5
a)
2 + h + 5
b)
h ∙ h + 5
c)
5 ∙ h ∙ 2
d)
2h + 5
43.
the product of y and 7
a)
y x 7
b)
y ∙ 7
c)
y + 7
d)
y ÷ 7
44.
a number cubed plus 8
a)
n ∙ 4 + 8
b)
n2 + 8
c)
n3 + 8
d)
n + n + n + 8
45.
half of a number, c
a)
c ÷ 2
b)
½ ÷ c
c)
c ÷ ½ 
d)
c + ½
46.
triple the sum of x and 5
a)
3 + x + 5
b)
3 ∙ x + 5
c)
3(x + 5)
d)
(3x) + 5
47.
u decreased by 17
a)
17 - u
b)
u - 17
c)
u + 17
d)
u ÷ 17
48.
Last year, a city had 51 inches of rain. This amount was 12 inches less than normal. Which equation would calculate the normal rainfall, n, for this area?
a)
n – 12 = 51
b)
n + 12 = 51
c)
n = 51 – 12
d)
12n = 51
49.
Roger scored 7 points for his basketball team. If his team scored a total of 35 points, how many points were scored by someone other than Roger?
a)
5
b)
28
c)
35
d)
42
50.

Julius is selling raffle tickets for $2.50 each. The prizes to be awarded cost $2,260. Which equation represents the number of raffle tickets, x, that must be sold in order to pay for the prizes?

a)

2.50x = 2,260

b)

x + 2.50 = 2,260

c)

2.50 = 2,260x

51.
Ken has $20.00. Coffee costs $4.79 per pound. Which equation will calculate the number of pounds of coffee, n, Ken can buy?
a)
4.79n = 20.00
b)
20.00n = 4.79
c)
4.79 + n = 20.00
d)
4.79 − n = 20.00
52.
Jeremy is six years younger than Deon. Jeremy is 15 years old. Which equation can be used to find Deon’s age, y?
a)
y – 6 = 15
b)
6 – y = 15
c)
y ÷ 6 = 15
d)
6 ÷ y = 15
53.

The sum of a number, x, and 12 is 250. Which equation can be used to find the value of x?

a)

12 • x = 250

b)

250 • 12 = x

c)

12 + 250 = x

d)

x + 12 = 250

54.
Tim's high school played 14 football games this year. The team won most of their games. They were defeated during 2 games. Write an equation that could be used to find how many games they won.
a)
14 + x = 2
b)
x - 2 = 14
c)
x + 2 = 14
d)
14 + 2 = x
55.
A toy company spends $1500 per day for factory expenses plus $8 to make each teddy bear.  They sell the teddy bears for $12 a piece.  Which equation could be used to find the number of bears t the company has to sell in one day to equal its daily cost?
a)
1500 + 8t = 12
b)
12 + 8t = 1500
c)
1500 + 8t = 12t
d)
8t = 12t + 1500
56.
2. Cheryl gets paid $8 per hour for her job at the record store and $15 for working late on Saturday.  She made a total of $96 last week.  Which equation models this situation?
a)
96h + 15 = 8
b)
h/96 = 8
c)
8h + 15 = 96
d)
h/8 = 96
57.

Mallory bought pizza and soda for a party. If she spent $12.57 on the sodas and $10.95 for each pizza, how many pizzas did she buy if her total is $89.22?

a)

10.95x + 12.57 = 89.22

b)

12.57x + 10.95 = 89.22

c)

89.22x -10.95 = 12.57

d)

12.57 + 10.95 = 89.22

58.

Jen wants to buy a new car for $18500. She pays $2500 at signing and wants to pay $250 per month. How many months until it is paid off?

a)

18500 + 2500 = 250x

b)

2500 -250x = 18500

c)

250x + 2500 = 18500

d)

2500(250)x = 18500

59.

Sebastian’s age is 3 times Katie’s age. 3 years ago, Sebastian and Katie’s age added together is 33. Write an equation to represent this situation. Select all that apply.

a)

3k-6=33

b)

(3k+3)+(k+3)=33

c)

4k-6=33

d)

(3k-3)+(k-3)=33

60.

At Joe's Clown Car Rental Agency, renting a car costs $35 plus $0.75 for every mile it is driven. Write an equation that represents this situation.

a)

y = x(35 + 0.75)

b)

y = 35x + 0.75

c)

y = 0.75x + 35

d)

y = 0.75(x + 35)

61.

A plant is currently 5cm tall and growing at a rate of 3cm a month. Write an equation that represents this situation.

a)

y = 5 + 3

b)

y = 5x + 3

c)

y = 3x + 5

d)

y = 3x + 5x

62.

Natalie is a softball coach. She has a pitching private lesson with Kasey. Kasey's mom pays Natalie $11 per hour plus a $6 tip. Write an equation that represents this scenario if the total cost was $39.

a)

11x + 6 = 39

b)

11x - 6 = 39

c)

11 + 6x = 39

d)

66x = 39

63.

Jacob collects hats. He has 6 hats already, and he collects 2 hats a week. Write an equation that represents this scenario.

a)

y = 6x - 2

b)

y = 6x + 2

c)

y = 2x - 6

d)

y = 2x + 6

64.

How old am I if 400 reduced by 2 times my age is 244? Write an equation that represents this scenario.

a)

2x - 400 = 244

b)

400 – 2x = 244

c)

400 - 244 = 2x

d)

400 - 2 = 244x

65.
3 - 7x = 5
a)
X = 5 - 7
b)
X = 7x - 5
c)
X = 4 / 8
d)
X = - 2 / 7
66.
5x + 2 = 3x + 11
a)
X = 3 / 6
b)
X = 6 / 3
c)
X = 9 / 2
d)
X = 2 /9
67.
3 + x = 5
a)
X = 4
b)
X = 3
c)
X = 2
d)
X = 1
68.
4 - 9x = 10
a)
X = 4 / 5
b)
X = 3 / 9
c)
X = -6 / 9
d)
X = 2 / 9
69.

Write as an algebraic equation.

the product of 6 and a number n

a)

6n

b)

6 + n

c)

6 - n

d)

6/n

70.

Solve c = λν for λ

a)

λ = c/ν

b)

λ = ν/c

71.

Solve for x.

1/2(x - h) = g

a)

x = 2g-h

b)

x = 1/2g - h

c)

x = 2g+h

d)

x = 1/2gh

72.

Solve for x.

3/4(x + 2) = k

a)

x = 4/3k - 2

b)

x = k / 3/4

c)

x = 4/3k + 2

d)

x = 6/4k

73.
Solve for a.
a)
a = pw
b)
a = p/w
c)
a = w/p
d)
a = w + p
74.
Solve for r.
a)
A
b)
B
c)
C
d)
D
75.
S = 3F - 24  Solve for F
a)
F = (S + 24)/3
b)
F = S/3 + 24
c)
F = 3S + 24
d)
F = 3(S + 24)
76.
8x + 4y= 16
a)
y = -8x + 16
b)
y = 2x -4
c)
y = -2x + 4
d)
y = -8x + 12
77.
Solve for the indicated variable.
a)
I = V/R
b)
I = R/V
c)
I = RV
d)
I = VR
78.
Solve for the indicated variable.
a)
A = l/w
b)
w = l/A
c)
w = A
d)
w = A/l
79.
pV = nRT
solve for R
a)
R= pV/nT
b)
R= p/n + V/T
c)
R= pV - nT
d)
R= (pV-n)/T
80.
Solve -2 = 4r + s for s.
a)
s = -2 + 4r
b)
s = 2 - 4r
c)
s = -2 - 4r
d)
s = 2 + 4r
81.
z + 3
a)
twice as far
b)
half the distance
c)
three inches shorter
d)
three inches beyond
82.
z/4
a)
twice as far
b)
half the distance
c)
one-fourth the distance
d)
four less than
83.
2z
a)
twice as far
b)
2 less than
c)
2 more than
d)
divide into 2 groups
84.
3z
a)
three inches short
b)
3 times as many
c)
3 inches beyond
d)
3 more than
85.
z - 4
a)
4 inches ahead
b)
4 less than z
c)
4 times as many
d)
one-fourth the size
86.
Beth is 6 years younger than twice her brother's age.  How old is Beth?
a)
6 - 2b
b)
2b - 6
c)
1/2b + 6
d)
b + 6
87.
When graphing the solutions to "OR" inequalities, The shading looks like___
a)
Shading that connects the 2 dots
b)
Shading that points away and never crosses.
c)
Shading that points toward each other and ALWAYS crosses
d)
Shading that points opposite, but sometimes crosses.
88.
a)

x ≤ 3 and x > -2

b)

x < -2 or x ≥ 3

c)

x > -2 or x < 3

d)

x < 3 and x ≥ -2

89.
a)

x < 0 or x ≥ 2

b)

x < 0 or x > 2

c)

x ≤ 0 or x ≥ 2

d)

x ≤ 0 or x > 2

90.
a)

x > -3 or x > 1

b)

x < -3 or x < 1

c)

x ≥ 3 and x ≤ 1

d)

x > -3 and x < 1

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