Free Printable M1A Exam Review- Unit 1

1.

4x + 10 = -26

a)

4

b)

-4

c)

-9

d)

9

2.

8x - 6 = 2 (4x - 3)

a)

-3

b)

3

c)

infinite solutions

d)

no solutions

3.

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

4.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

5.

12 x - 10 = 3 (4x - 4) - 2

a)

infinite solutions

b)

no solution

c)

-1

d)

1

6.

-11 + 3(b + 5) = 7

a)

b = 1

b)

b= -1

c)

b = 3

d)

b = -3

7.

2 + 14a = -8 + 9a

a)

-2

b)

3

c)

5

d)

-10

8.

a)

8

b)

6

c)

54

d)

50

9.

Solve:
32 - 7x = -6(x + 3)

a)

50

b)

3

c)

-3

d)

-50

10.

Solve the Equation:
2(6b + 1) = 4(b - 5) -2

a)

b = - 2.75

b)

b = -7/8

c)

b = 3

d)

b = -3

11.

3c + 5 = 23

a)

c = 3

b)

c = 6

c)

c = 7

d)

c = 18

12.

Solve 2x - 3 = 1

a)

3

b)

2

c)

1

d)

-2

13.

Solve 3x - 7 = 32

a)

13

b)

3

c)

12

d)

7

14.

33 = 4a - 7

a)

a = -10

b)

a = 10

c)

a = 4.5

d)

a = 5

15.

15 = 2a + 7

a)

2

b)

4

c)

12

d)

14

16.

7(9 + K)= 84

k =____________

a)

3

b)

-3

c)

5

d)

-2

17.

144 = -12(x+ 5)

a)

-`7

b)

-17

c)

14

d)

17

18.

-15 = -4m + 5

a)

4

b)

-7

c)

5

d)

-4

19.

-9x - 13= -103

a)

15

b)

10

c)

12

d)

11

20.

10 - 6v= -104

a)

19

b)

-19

c)

18

d)

-16

21.

What does "product" mean?

a)

Multiply

b)

Divide

c)

Add

d)

Subract

22.

The word "of" represents what operation?

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

23.

Write an algebraic expression for:
35 decreased by a number

a)

35+n

b)

35-n

c)

n-35

24.

Write a verbal expression for:
4q

a)

Four q

b)

Four times q

c)

Four plus q

25.

The product of five and six

a)

5 + 6

b)

5 - 6

c)

5 x 6

26.

The sum of seven and twelve

a)

7 + 12

b)

12 - 7

c)

12 x 7

27.

Four times the sum of 7 and w

a)

4 x w

b)

4(7 + w)

c)

47w

28.

The difference of ten and six

a)

10 x 6

b)

10 + 6

c)

10 - 6

29.

n - 9

a)

Take n away from 9

b)

Take 9 away from n

c)

The sum of n and 9

30.

5 x 3

a)

The quotient of five and three

b)

The difference of five and three

c)

The product of five and three

31.

8 (n - 3)

a)

Eight minus n and three

b)

Eight times the difference of n and three

c)

The addition of n and 3

32.

54 + 12

a)

Twelve increased by fifty four

b)

Fifty four increased by twelve

c)

The difference of fifty four and twelve

33.

7(4)

a)

The product of seven and four

b)

Seven minus four

c)

Quotient four

34.

12 ÷ 6

a)

The sum of twelve and six

b)

The quotient of twelve and six

c)

The product of twelve and six

35.

Match the following:

a)

Division

1.

Quotient

b)

Addition

2.

Sum

c)

Multiplication

3.

Product

d)

Subtraction

4.

Difference

36.

Write an algebraic expression for:
35 decreased by a number

a)

35+n

b)

35-n

c)

n-35

37.

5 less than a number is 15.

a)

x - 5 = 15

b)

5 - x = 15

c)

15 - x = 5

38.

How would you translate
x - 5 = 12 into words?

a)

x - 5 = 12

b)

The product of x and 5 is twelve

c)

x less than 5 is 12

d)

Five less than x is 12.

39.

Translate the sentence into an equation:

Seven subtracted from n is 18

a)

n + 7 = 18

b)

7 - n = 18

c)

n - 7 = 18

d)

n + 7 = 18n

40.

Which choice models this situation?

Robyn had some video games, then bought 4 more. Now she has a total of 10 games.

a)

v - 4 = 10

b)

v + 4 = 10

c)

10/4 = v

d)

4v = 10

41.

Translate 4 more than x equals 7 into an equation and solve.

a)

x+4=7
x = 11

b)

x+4=7
x = 3

c)

x-4=7
x = 11

d)

x-4=7
x=3

42.

Translate the statement into an equation:

Five less than a number is 6

a)

n - 5 = 6

b)

5 - n = 6

c)

6 - 5 = 1

43.

Translate the sentence into an equation:

The product of a number and two-thirds is 24.

a)

2/3 + x = 24

b)

2/3 x = 24

c)

3/2 x = 24

d)

x + 2/3 = 24

44.

Write an equation models the following statement:
17 less than h equals 42

a)

17-h=42

b)

h-17=42

c)

h+17=42

d)

17+h=42

45.

Translate 4 more than x equals 7 into an equation and solve.

a)

x+4=7
x = 11

b)

x+4=7
x = 3

c)

x-4=7
x = 11

d)

x-4=7
x=3

46.

3y - 8 = 7y

a)

y = 4

b)

y = -4

c)

No Solution

d)

Infinite Solutions

47.

10x + 9 = 4x - 9

a)

x = 0

b)

x = 3

c)

x = -3

d)

x = -18

48.

8x - 8 = -4x + 16

a)

x = 8

b)

x = 16

c)

x = 24

d)

x = 2

49.

7w + 5 = 3w - 15

a)

w = 5

b)

w = -2

c)

w = 2

d)

w = -5

50.

Solve for f:
f - 4 = 6f + 26

a)

f = -5

b)

f = 5

c)

f = 6

d)

f = -6

51.

Solve for x:
5x - 14 = 8x + 4

a)

x = 6

b)

x = -6

c)

x = -18/13

d)

x = 10/3

52.

What is the first step to solve this equation:

11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

53.

2x = x + 3

a)

6

b)

3

c)

2

d)

x

54.

7x = 3x + 24

a)

6

b)

10

c)

14

d)

4

55.

30 + 6t = 11t

a)

3

b)

5

c)

6

d)

30

56.

2a+4=7+a

a)

a = 1

b)

a = -3

c)

a = -1

d)

a = 3

57.

9+2a=-3-4a

a)

a = -2

b)

a = 2

c)

a = 5

d)

a = -1

58.

Solve for x:
5x - 14 = 8x + 4

a)

x = 6

b)

x = -6

c)

x = -18/13

d)

x = 10/3

59.

Solve for f:
f - 4 = 6f + 26

a)

f = -5

b)

f = 5

c)

f = 6

d)

f = -6

60.

Solve for x:
5x - 14 = 8x + 4

a)

x = 6

b)

x = -6

c)

x = -18/13

d)

x = 10/3

61.

14p - 8 = 22 + 20p

a)

-5

b)

5

c)

30

d)

-30

62.

What is the first step to solve this equation:

-11 - 3x = 44 - 2x

a)

Add 3 to both sides

b)

Get the variable on one side

c)

Add 11 to both sides

d)

Add 2 on both sides.

63.

2x = x + 3

a)

6

b)

3

c)

2

d)

x

64.

7x - 4 = 3 + 8x

a)

x = 7

b)

x = -7

c)

x = 2/7

d)

x = 11

65.

5x - 14 = 8x + 4

a)

x = 6

b)

x = -6

c)

x = -18/13

d)

x = 10/3

66.

f - 4 = 6f + 26

a)

f = -5

b)

f = 5

c)

f = 6

d)

f = -6

67.

10x + 9 = 4x - 9

a)

0

b)

3

c)

-3

d)

-18

68.

-5k + 10 = -2k - 14

a)

8

b)

-8

c)

2

d)

-2

69.

$5+2x=2x+6$

a)

$x=2$

b)

$x=11$

c)

No Solution

d)

Infinitely Many Solutions

70.

What is the perimeter of the rectangle?

Write an expression to represent the perimeter.

a)

5x + 5x+ x+3 + x+3

b)

5x+x+3

c)

5x + x+3 + 5x

d)

(5x)(x+3)

71.

The perimeter of the quadrilateral is:

72.

Find the perimeter of the rectangle.

Remember to combine like terms!

a)

16x + 20

b)

8x + 10

c)

80x

d)

18x

73.

A rectangle has width (2x + 3) and length (2x - 4). What is the perimeter of the rectangle?

(HINT: Perimeter means add all the sides together. Just do not forget how many sides a rectangle has).

a)

4x- 12

b)

4x- 1

c)

8x- 2

d)

4x²- 2x - 12

74.

Which expression represents the perimeter?

a)

3x + 3

b)

4x + 3

c)

4x + 6

d)

6x + 6

75.

Which expression represents the perimeter of the triangle?

a)

4x + 4y + 5

b)

6xy + 7

c)

6x + 2y + 5

d)

10xy + x + 2y

76.

What is the perimeter of the rectangle (combine like terms)

a)

5x + 7

b)

10x + 4

c)

12x

d)

15x + 12

77.

Find and simplify an expression representing the perimeter of a square with a side length of 15-2x.

a)

30-4x

b)

60-8x

c)

17x

d)

68x

78.

What is the perimeter of this figure?

(a)

79.

What is the perimeter of a square in terms of m, with a side of $7m\ -\ 3$ ?

a)

$14m\ -\ 6$

b)

$28m\ -\ 12$

c)

$49m^2-\ 42m\ +\ 9$

d)

$49m^2\ +\ 9$

80.

The three lengths of an isosceles triangle are 23g - 5, 16g + 7 and 14g + 12. What is the perimeter of the triangle in terms of g?

a)

52g + 13

b)

54g + 17

c)

55g - 12

d)

53g + 14

81.

What is the perimeter of this figure?

(a)

82.

The length of a flat screen TV is 5 inches less than 3 times its width. If the perimeter of the TV is 150 inches, find the dimensions.

SELECT THE ANSWER FOR THE LONGEST SIDE FROM THE DIMENSIONS ABOVE.

a)

57 inches

b)

30 inches

c)

20 inches

d)

55 inches

83.

The length of a flat screen TV is 5 inches less than 3 times its width. If the perimeter of the TV is 150 inches.

WHICH EQUATION WILL HELP YOU ANSWER THESE QUESTIONS?

a)

2(x) + 2(3x-5)=150

b)

2(x) + 2(3x+5)=150

c)

x + 3x-5=150

d)

4x+5=150

84.

The perimeter of a triangle is 65 ft. Side "a" is 7 ft shorter than side "b". Side "c" is twice as long as side "a". Find the length of each side.

a)

Side "a" = 75 ft

Side "b" = 80 ft

Side "c" = 37.5 ft

b)

Side "a" = 15 ft

Side "b" = 20 ft

Side "c" = 30 ft

c)

Side "a" = 35 ft

Side "b" = 40 ft

Side "c" = 70 ft

85.

The length of a rectangle is 2 times the width. The perimeter is 126 cm. Find the length and width of the rectangle.

a)

Length = 21 cm

Width = 21 cm

b)

Length = 86 cm

Width = 43 cm

c)

Length = 42 cm

Width = 21 cm

d)

Length = 126 cm

Width = 63 cm

86.

FInd the value of x: 72, 56, x, 77, 69 Average = 71

(a)

87.

FInd the value for x: 5, 14, 12, x, 10, 4 Average = 9

(a)

88.

FInd the value of x: x, 47, 32, 24, 22 Average = 32

(a)

89.

Find the value of x: 85, 79, x, 91 if the Average = 87

(a)

90.

Find the missing number n , 1 , 19, 1, when average(mean) is 7 ?

(a)

91.

Find the missing number 4, 5 , 16, 4 , n, when average(mean) is 10 ?

(a)

92.

Find the missing number 14 ,3 , 2, 27, 4 n, when average(mean) is 13 ?

(a)

93.

Find the missing number 3, n , 12, 21, when average(mean) is 13?

(a)

94.

Find the missing number 5,24, n , 0, when average(mean) is 13 ?

(a)

95.

The sum of three consecutive integers is 132. What is the second integer?

a)

44

b)

46

c)

48

d)

50

96.

The sum of three consecutive odd integers is 375. What is the first integer?

a)

111

b)

123

c)

131

d)

145

97.

The sum of three consecutive integers is 267. Which of the following equations models the situation?

a)

3n +3 = 267

b)

3(n + 3) = 267

c)

(n + 1) + (n + 2) + (n + 3) = 267

d)

n + (n + 1) + (n + 2) = 267

98.

Find three consecutive integers such that twice the smallest is 12 more than the largest.

a)

{14, 15, 16}

b)

{16, 17, 18}

c)

{16, 18, 20}

d)

{14, 16, 18}

99.

The sum of three consecutive numbers is -30. What is the smallest of the three numbers?

a)

-10

b)

-11

c)

-12

d)

-9

100.

The sum of 4 consecutive even numbers is 364. What is the sum of the middle two numbers?

a)

91

b)

92

c)

183

d)

182

101.

The sum of three consecutive EVEN numbers is -138. What is the smallest of the three numbers?

a)

-48

b)

-45

c)

-46

d)

-47

102.

Which expressions can be used to represent the sum of 3 consecutive odd integers?

a)

n+1, n+2, n+3

b)

n, n+1, n+3

c)

n, n+1, n+2

d)

n, n+2, n+4

103.

The sum of three consecutive even integers is 618. What is the largest number in the group?

a)

207

b)

209

c)

206

d)

208

104.

If distance = rate X time, which of the following must also be true?

a)

Rate = distance X time

b)

Time = distance $\div$ Rate

c)

Distance = rate $\div$ Rate

d)

Time = rate $\div$ Distance

105.

If a train travels at a speed of 100 km/hr, how far will it travel in half an hour?

a)

100 km

b)

50 km

c)

25 km

d)

10 km

106.

If a jogger runs a 10-kilometer race in 60 minutes, what is her average speed?

a)

10 km/hr

b)

5 km/hr

c)

6 km/hr

d)

1.66 km/hr

107.

If a car travels at 40 km/hr for 4 hours, how much distance has it covered?

a)

160 km

b)

140 km

c)

120 km

d)

100 km

108.

An aircraft carrier travels a distance of 1,000 km in 3 days. What is its average rate of speed?

a)

1,000 km/hr

b)

3,000 km/hr

c)

333.3 km/hr

d)

13.9 km/hr

109.

A train leaves Boston traveling at a speed of 90 km/hr. How much distance will it cover in five hours?

a)

45 km

b)

450 km

c)

180 km

d)

18 km

110.

If a train travels 1,600 km in 16 hours, how fast is it moving?

a)

60 km/hr

b)

100 km/hr

c)

120 km/hr

d)

90 km/hr

111.

If a person ran 32 kilometers at a rate of 8 kilometers/hr, how long did she run?

a)

6 hours

b)

8 hours

c)

4 hours

d)

12 hours

112.

A crosstown bus travels 8 kilometers in 45 minutes. What is its average rate of speed?

a)

4 km/hr

b)

6.67 km/hr

c)

8 km/hr

d)

10.67 km/hr

113.

Which of the following steps is important in solving distance, rate, and time problems?

a)

Working quickly.

b)

Doing the whole problem in your head.

c)

Drawing diagrams.

d)

Memorizing the average speeds of different trains.

114.

Solve the literal equation for the given variable.

a)

2A/h

b)

2/(h)

c)

2Ah

d)

Ah/2

115.

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)

116.

Solve for a.

a)

a = pw

b)

a = p/w

c)

a = w/p

d)

a = w + p

117.

pV = nRT
solve for R

a)

R= pV/nT

b)

R= p/n + V/T

c)

R= pV - nT

d)

R= (pV-n)/T

118.

Solve -2 = 4r + s for s.

a)

s = -2 + 4r

b)

s = 2 - 4r

c)

s = -2 - 4r

d)

s = 2 + 4r

119.

Solve for x:

a)

x = yb - v

b)

x = by - v

c)

x = by + v

120.

Solve the equation for y.
2x + 3y = 4

a)

y = (4-2x)/3

b)

y = (2x-4)/3

c)

x = (4-3y)/2

d)

y = (4-2x)/ -3

121.

ax + c = R
(solve for x)

a)

ax = R + c

b)

ax = R - c

c)

x = a(R-c)

d)

x = (R-c) / a

122.

Solve for p
$A\ =\ \frac{1}{2}pa$

a)

$A-\frac{1}{2}a\ =\ p$

b)

$\frac{2A}{a}=p$

c)

$\frac{A}{2a}=p$

d)

$2A-a\ =\ p$

123.

Solve for d
$C\ =\ \pi d$

a)

$C\ -\ \pi=d$

b)

$C\ +\ \pi=d$

c)

$\pi C=d$

d)

$\frac{C}{\pi}=d$

124.

Solve the literal equation for the given variable.

a)

2A/h

b)

2/(h)

c)

2Ah

d)

Ah/2

125.

Solve for a.

a)

a = pw

b)

a = p/w

c)

a = w/p

d)

a = w + p

126.

Solve for r.

a)

A

b)

B

c)

C

d)

D

127.

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)

128.

8x + 4y= 16

a)

y = -8x + 16

b)

y = 2x -4

c)

y = -2x + 4

d)

y = -8x + 12

129.

5x - y = 16

a)

-y = 5x + 16

b)

y = 5x + 16

c)

x = 5y - 16

d)

y = 5x - 16

130.

pV = nRT
solve for R

a)

R= pV/nT

b)

R= p/n + V/T

c)

R= pV - nT

d)

R= (pV-n)/T

131.

Solving the formula P = 2L + 2W for W is not equivalent to which equation?

a)

(P-2L)/2 = W

b)

(P/2) - (2L/2) = W

c)

(1/2)P - L = W

d)

P - (1/2)L = W

132.

Solve for x:

a)

x = yb - v

b)

x = by - v

c)

x = by + v

133.

a)

h=V/(3πr²)

b)

h=(3V)/(πr²)

c)

h=V/(3πr²)

d)

h=(3π)/(Vr²)

134.

a)

s = -Dn + C

b)

s = Dn - C

c)

s = Dn/C

135.

a)

(2.5+h)f

b)

g=1

c)

f(5+h)/2

d)

(5f+h) / 2

136.

a)

17m

b)

13m

c)

-13m

d)

-17m

137.

Solve for x:

a)

x = yb - v

b)

x = by - v

c)

x = by + v

138.

a)

A

b)

B

c)

C

d)

D

139.

Solve for h
V = 1/3Bh

a)

93B)/V = h

b)

1/3BV = h

c)

(3V)/B = h

d)

1/3 + BV = h

140.

-4x + 14 ≤ 54

a)

x ≥ - 10

b)

x ≤ -10

c)

x ≥ 17

d)

x ≤ 10

141.

14 < -2a + 6 - 2a

a)

a > -2

b)

a < -2

c)

a > 5

d)

a < -5

142.

4(2a + 3) < 3(a - 1)

a)

a < -3

b)

a > -3

c)

a < 3

d)

a > 3

143.

Solve.

a)

a > -24

b)

a > 6

c)

a > -36

d)

a > -10

144.

28 − k ≥ 7(k − 4)

a)

k ≥ -7

b)

k ≤ -7

c)

k ≥ 7

d)

k ≤ 7

145.

-3 − 6(4x + 6) > -111

a)

x > 3

b)

x < 3

c)

x < -3

d)

x > -3

146.

Solve

a)

p ≤ -12

b)

p ≥ -12

c)

p ≤ 20

d)

p ≥ 20

147.

a)

e ≥ -4

b)

e ≥ 28

c)

e ≥ -12

d)

e ≥ 24

148.

a)

s > -25/3

b)

s > -10.6

c)

s > -12

d)

s < 16

149.

a)

x ≤ -28/3

b)

x ≤ 28/4

c)

x ≤ 16

d)

x ≤ -5.25

150.

a)

k ≤ 56

b)

k ≥ -35

c)

k ≤ 35

d)

k ≥ -56

151.

a)

t < -19

b)

t < -22

c)

t < -13

d)

t < -25

152.

a)

x > 39

b)

x < 6

c)

x < 13/3

d)

x > 5/9

153.

a)

n < 7

b)

n > 13

c)

n < 8

d)

n > 15

154.

a)

m ≤ -8/3

b)

m ≥ 15/4

c)

m ≥ 7/9

d)

m ≤ -4/5

155.

a)

a ≥ 4

b)

a ≥ -4

c)

a ≤ -4

d)

No solution

156.

You flip an inequality symbol when you...

a)

subtract

b)

multiply and divide only

c)

multiple by a negative number

d)

multiple or divide by a negative number

157.

Graph the solution set of the inequality.

–4a ≤ –28

a)

b)

c)

d)

158.

6x + 2 + 6x < 14

a)

x < 1

b)

x > 1

c)

x < -1

d)

x > -1

M1A Exam Review- Unit 1

Total questions: 158

Worksheet time: 8hrs 54mins

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