Free Printable SEM 1 Math Review

1.

Factor the expression:

$21x-36$

a)

$3\left(7x-12\right)$

b)

$-3\left(7x-12\right)$

c)

$-15x$

d)

$21\left(x-15\right)$

2.

Factor the expression:

$-7a-49$

a)

$7\left(-a-7\right)$

b)

$-7a\left(1+7\right)$

c)

$7a\left(-1-7\right)$

d)

$-7\left(a+7\right)$

3.

Factor the expression:

$96w+88$

a)

$8\left(12w+11\right)$

b)

$2\left(48w+44\right)$

c)

$4\left(24w+22\right)$

d)

$-8\left(-12w-11\right)$

4.

Factor the expression:

$-44n+24$

a)

$2\left(-22n+12\right)$

b)

$-4\left(11n-6\right)$

c)

$-2\left(22n-12\right)$

d)

$4\left(-11n+6\right)$

5.

Simplify the expression by combining like terms:

$2r+2+5r-2+r$

a)

$8r-4$

b)

$8r$

c)

$12r$

d)

$7r+4+r$

6.

Simplify the expression by combining like terms:

$3\left(2x-4\right)+6x-1$

a)

$-x$

b)

$12x-5$

c)

$11x-2$

d)

$12x-13$

7.

Simplify the expression by combining like terms:

$-3p+2\left(-5-8p\right)$

a)

$15p+10$

b)

$-13p-10$

c)

$-19p-10$

d)

$-11p-3$

8.

Solve for the variable.

$-27=-7-4c$

a)

$5$

b)

$6$

c)

$13$

d)

$4$

9.

Solve for the variable.

$4+\frac{k}{2}=-3$

a)

$14$

b)

$-14$

c)

$4$

d)

$-2$

10.

Solve for the variable.

$-x-6=4$

a)

$2$

b)

$-2$

c)

$-10$

d)

$4$

11.

Solve for the variable.

$-2\left(m-7\right)=12$

Input ONLY numerical solution

(a)

12.

Solve for the variable.

$-3=\frac{-13+q}{4}$

Input ONLY numerical solution

(a)

13.

Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. Write an equation that represents this scenario if she spends $35 in all.

a)

$0.50+20x=35$

b)

$0.50x+20=35$

c)

$35-0.50x=20$

d)

$0.50x-20=35$

14.

A bag of candy was shared equally among 4 friends. Each friend gave away 7 pieces of candy. Write an equation that represents this scenario if each friend ended up with 8 pieces of candy.

a)

$\frac{c}{7}-4=8$

b)

$8-\frac{c}{4}=7$

c)

$\frac{c}{4}-7=8$

d)

$\frac{c}{4}+7=8$

15.

Simplify the expression:

$8\left(-b-4\right)$

(DO NOT include spaces in your answer)

(a)

16.

Simplify the expression:

$-4\left(-6p+7\right)$

(DO NOT include spaces in your answer)

(a)

17.

Simplify your expression:

$6\left(-5n+7\right)$

(DO NOT include spaces in your answer)

(a)

18.

Solve for the variable:

$v-10=-3$

(Input ONLY numerical solution)

(a)

19.

Solve for the variable:

$-2=\frac{m}{16}$

(Input ONLY numerical solution)

(a)

20.

Solve for the variable;

$13+p=-8$

(Input ONLY numerical solution)

(a)

21.

Solve for the variable:

$22=-11x$

(Input ONLY numerical solution)

(a)

22.

Select the equation that best represents the scenario:

Pryce scored 37 points. This was 5 points more than Kevin scored.

a)

$37+5=k$

b)

$k-5=37$

c)

$k+5=37$

d)

$5k=37$

23.

Select the equation that best represents the scenario:

After eating at the restaurant, Jude, Luke, and Michael decided to divide the bill evenly. If each person paid 27 dollars, what was the total of the bill ?

a)

$\frac{b}{3}=27$

b)

$3b=27$

c)

$27=b+b+b$

d)

$\frac{3}{b}=27$

24.

Select the equation that best represents the scenario:

Charlie has some candy. He shares ten pieces with Betsy and is left with 24 pieces.

a)

$x+10=24$

b)

$x-10=24$

c)

$10x=24$

d)

$x+24=10$

25.

Select the equation that best represents the scenario:

Last week, Tina worked 35 hours in 5 days. She worked the same number of hours each day. How many hours did she work each day?

a)

$h-5=35$

b)

$h+5=35$

c)

$5h=35$

d)

$\frac{h}{5}=35$

26.

Does the table represent a proportional relationship?

a)

yes

b)

no

27.

What makes a graph proportional?

a)

Straight Line

b)

The line goes through (0,0)

c)

Curvy line

d)

Straight line and passes through (0,0)

28.

Does the graph represent a proportional relationship?

a)

yes

b)

no

29.

Does this table represent a proportional relationship?

a)

Yes

b)

No

30.

Write an equation for this relationship $\left(Y=kx\right)$ .

a)

$Y=\frac{1}{5}x$

b)

$Y=\frac{1}{2}x$

c)

$Y=2x$

d)

$Y=5x$

31.

What is the constant of proportionality?

a)

15

b)

5

c)

75

d)

25

32.

Which equation matches the graph $\left(Y=kx\right)$ ?

a)

$Y=8x$

b)

$Y=1x$

c)

$Y=3x$

d)

$Y=16x$

33.

A store sees 120 customers in 8 hours. What is the unit rate (in customers per hour)?

a)

16 customers per hour

b)

15 customers per hour

c)

12 customers per hour

d)

20 customers per hour

34.

Ben plays basketball every 6 times in a 3 weeks. At this rate, how many times does he play basketball in 10 weeks?

a)

20 times

b)

30 times

c)

45 times

d)

50 times

35.

The car travels 440 miles in 8 hours. What is the unit rate?

a)

12 miles in 1 hour

b)

55 miles in 1 hour

c)

110 miles in 1 hour

d)

44 miles in 1 hour

36.

A cashier at the grocery store rung up 2 customers in 8 minutes. At this rate, how many customers can he ring up in 30 minutes?

a)

16 customers

b)

10.5 customers

c)

7.5 customers

d)

14 customers

37.

A recipe calls for 2/3 cup white sugar for every ¾ cup brown sugar. If I want to use 1 cup of white sugar, how much brown sugar should I use?

a)

$1\ \frac{1}{8}$ cups of brown sugar

b)

$\frac{1}{2}$ cups of brown sugar

c)

$\frac{8}{9}$ cups of brown sugar

d)

$2$ cups of brown sugar

38.

A novelist can write 2 ¼ pages in 3/5 of an hour. What is her speed in pages per hour?

a)

$\frac{4}{15}$ pages per hour

b)

$3\ \frac{3}{4}$ pages per hour

c)

$\frac{20}{27}$ pages per hour

d)

$1\ \frac{7}{20}$ pages per hour

39.

Paige mows 1/6 of an acre in 1/4 hour. How many acres does Paige mow per hour?

a)

$\frac{6}{4}$ acres

b)

$\frac{2}{3}$ acre

c)

$2$ acres

d)

$3$ acres

40.

If a snail can move 3/10 of a meter every 1/12 hour, what is the speed of the snail, in meters per hour?

a)

$\frac{1}{40}$ meters per hour

b)

$\frac{5}{18}$ meters per hour

c)

$1\ \frac{1}{2}$ meters per hour

d)

$3\ \frac{3}{5}$ meters per hour

41.

Find the slope

a)

$-\frac{5}{3}$

b)

$-\frac{3}{5}$

c)

$\frac{5}{3}$

d)

$\frac{3}{5}$

42.

Find the slope of the line.

a)

$-\frac{5}{4}$

b)

$\frac{5}{4}$

c)

$-\frac{4}{5}$

d)

$\frac{4}{5}$

43.

Find the slope:

a)

$\frac{3}{4}$

b)

$\frac{4}{3}=1\ \frac{1}{3}$

c)

$-\frac{3}{4}$

d)

$-\frac{4}{3}=-1\ \frac{1}{3}$

44.

Find the slope given the points (2, −7) and (−1, 6).

a)

$-\frac{13}{3}=-4\ \frac{1}{3}$

b)

$\frac{13}{3}=4\ \frac{1}{3}$

c)

$0$

d)

$\frac{2}{3}$

45.

Find the slope given the points (3, 2) and (4, 7).

a)

$4$

b)

$5$

c)

$-5$

d)

$\frac{1}{5}$

46.

Find the slope given the points (-2, -9) and (-1, -3).

a)

$4$

b)

$-\frac{1}{6}$

c)

$-6$

d)

$6$

47.

What is the slope of the line that passes through the points (-4, -1) and (-2, -5)?

a)

$\frac{1}{2}$

b)

$-\frac{1}{2}$

c)

$2$

d)

$-2$

48.

What is the slope in the equation:

$Y=-2x+3$

a)

$2$

b)

$3$

c)

$-2x$

d)

$-2$

49.

What is the slope in the equation:

$Y=-x-9$

a)

$-x$

b)

$-1$

c)

$-9$

d)

$9$

50.

What is the slope of the line with the equation:
$y\ =\ -\frac{3}{2}x\ +\ 4$

a)

$-\frac{3}{2}$

b)

$\frac{3}{2}$

c)

$4$

d)

$-4$

51.

Simplify your expression.

$\frac{1}{3}+\ \left(-\frac{1}{6}\right)=$

(a)

52.

Simplify your expression.

$-\frac{1}{4}+\left(-\frac{3}{8}\right)=$

(a)

53.

Simplify your expression.

$-6\ +\ \frac{2}{3}=$

(a)

54.

Simplify your expression.

$\frac{5}{13}+\ 2\ \frac{1}{2}=$

(a)

55.

Simplify your expression.

$-\frac{6}{18}-\left(-3\right)=$

(a)

56.

Simplify your expression.

$-\frac{1}{6}-\frac{3}{8}=$

(a)

57.

Simplify your expression.

$\frac{2}{9}-\left(-\frac{1}{5}\right)=$

(a)

58.

Simplify your expression.

$-2\ \frac{3}{4}-1\ \frac{7}{16}=$

(a)

59.

Simplify your expression.

$-10\times\frac{5}{8}=$

(a)

60.

Simplify your expression.

$\frac{8}{9}\times\left(-\frac{3}{4}\right)=$

(a)

61.

Simplify your expression.

$-\frac{2}{3}\times\left(-1\ \frac{4}{5}\right)=$

(a)

62.

Simplify your expression.

$\left(-\frac{5}{9}\right)\left(-\frac{4}{6}\right)\left(-\frac{1}{4}\right)=$

(a)

63.

Simplify your expression.

$\left(-\frac{2}{9}\right)\left(3\right)\left(-\frac{4}{5}\right)=$

(a)

64.

Simplify your expression.

$-4\ \frac{1}{2}\times1\ \frac{2}{3}=$

(a)

65.

Simplify your expression.

$-\frac{8}{2}\div\frac{7}{8}=$

(a)

66.

Simplify your expression.

$-\frac{4}{5}\div\left(-\frac{3}{10}\right)=$

(a)

67.

Simplify your expression.

$8\div\left(-\frac{4}{3}\right)=$

(a)

68.

Simplify your expression.

$4\ \frac{1}{3}\div\left(-1\ \frac{1}{2}\right)=$

(a)

69.

Simplify your expression.

$-\frac{8}{9}\div2\ \frac{2}{5}=$

(a)

70.

Simplify your expression.

$-\frac{9}{20}\div\left(-3\right)=$

(a)

71.

$5.4-\left(-8.35\right)=$

(a)

72.

$-23.4-3.4=$

(a)

73.

$-40+15.05=$

(a)

74.

$-7.79-\left(-5.4\right)=$

(a)

75.

$18-23.2=$

(a)

76.

$-7+34.5=$

(a)

77.

$-4.7+18.5=$

(a)

78.

$-5.23-\left(-9.1\right)=$

(a)

79.

$-6.23-7.5=$

(a)

80.

$-4.2\times\left(-5\right)=$

(a)

81.

$-2.14\cdot5.8=$

(a)

82.

$\left(0.54\right)\left(-0.38\right)=$

(a)

83.

$-8.6\times0.07=$

(a)

84.

$-43.1\cdot\left(-9.7\right)=$

(a)

85.

$\left(7.13\right)\left(-5.5\right)=$

(a)

86.

$-1.2\times3.4=$

(a)

87.

$-5.78\times\left(-3.5\right)=$

(a)

88.

$-1.68\div\left(-0.08\right)=$

(a)

89.

$25.2\div\left(-4\right)=$

(a)

90.

$-92.37\div\left(-0.5\right)=$

(a)

91.

$-3.69\div0.009=$

(a)

92.

$1.44\div\left(-0.4\right)=$

(a)

93.

$-25.44\div\left(-0.06\right)=$

(a)

94.

$9.24\div\left(-7\right)=$

(a)

95.

$-19.32\div2.3=$

(a)

96.

$\left(14\right)\left(-2\right)$

(a)

97.

$-31\div\left(-31\right)$

(a)

98.

$-18\times0$

(a)

99.

$\frac{-84}{7}$

(a)

100.

$-8\cdot\left(-15\right)$

(a)

101.

$\left(3\right)\left(-3\right)\left(-3\right)\left(-3\right)$

(a)

102.

$5\times\left(-9\right)\times\left(-2\right)$

(a)

103.

$-3\cdot\left(-7\right)\cdot\left(-4\right)$

(a)

104.

Four college roommates rented an apartment together. When they moved out, they were charged $1500 for damages to the carpet and walls. The roommates agreed to equally share the cost. What integer represents how much each person will have to pay?

a)

-$575

b)

$575

c)

$375

d)

-$375

105.

A mountain climber climbed up a cliff 50 feet at a time. He did this 5 times in one day. What was the overall change in his elevation?

a)

-10 feet

b)

10 feet

c)

-250 feet

d)

250 feet

106.

$-5-\left(-3\right)\times\left(-4\right)$

(a)

107.

$7\left(3-\left(-8\right)\div2\right)\ \$

(a)

108.

$\left(-2\right)^3\cdot4+8$

(a)

109.

$-3+\left(-2\right)\times\left(6-\left(-9\right)\right)$

(a)

110.

$-3+\left(-7+\ 4^2\right)$

(a)

111.

$\left(-3\right)^3-2+8\div\left(-8\right)$

(a)

112.

$-7\times\left(-9\right)\div\left(-5-\left(-2\right)\right)^2$

(a)

113.

At the grocery store, Mrs. Knight bought 4 pounds of apples for $2 per pound and 2 heads of lettuce for $1 each. She had a coupon for $3 off the price of the apples. After her purchases, what was the change in the amount of money that Mrs. Knight had?

a)

-7

b)

7

c)

6

d)

-14

114.

On Saturday, Mrs. Armour bought 7 pairs of socks for $3 each, and a sweater for her dog for $12. Then she found a $5 bill on the sidewalk. Over the course of Saturday, what was the change in the amount of money Mrs. Armour had?

a)

28

b)

2.80

c)

-28

d)

-.28

115.

A submarine cruised below the surface of the water. During a training exercise, it made 4 dives, each time descending 45 feet more. Then it rose 112 feet. What is the change in the submarine’s position?

a)

-68

b)

-86

c)

86

d)

68

116.

$\left(-2\right)^3\div\left(-4\right)+3$

(a)

117.

$\left(-6-4\right)^2\div\left(-4\right)$

(a)

118.

$\left(-3\right)^3-2+8\div\left(-8\right)$

(a)

119.

Ron lost 10 points seven times playing a video game. He then lost an additional 100 points for going over the time limit. What was the total change in his score?

a)

gained 170

b)

lost 170

c)

gained 30

d)

lost 30

120.

A submarine started the day at 1200 feet below sea level. The submarine rose 60 feet per hour during a 3-hour period.

Which expression represents the new position of the submarine in relation to sea level?

a)

–1,200 – 3(60)

b)

–1,200 + 3(60)

c)

1,200 – 3(60)

d)

1,200 + 3(–60)

121.

$\left(-6+8\div2\right)\times\left(-8\right)$

(a)

122.

$-2-7+6\cdot\left(-1\right)$

(a)

123.

$-2-\left(-1\right)\times3\div\left(-3\right)$

(a)

124.

$-5\cdot9-\left(-7\right)$

(a)

125.

$8\div\left(-6\ +\ 2^2\right)$

(a)

126.

$-14+\left(-3\right)$

(a)

127.

$-1-\left(-18\right)$

(a)

128.

$-8+13$

(a)

129.

$13-19$

(a)

130.

$-12-10$

(a)

131.

$-15+8$

(a)

132.

$-5-\left(-6\right)$

(a)

133.

$-11-\left(-11\right)$

(a)

134.

$16-\left(-27\right)$

(a)

135.

$-22+9$

(a)

136.

$-3+8+\left(-6\right)$

(a)

137.

$-4-\left(-7\right)-8$

(a)

138.

$6+6-\left(-2\right)$

(a)

139.

$8-5-\left(-1\right)$

(a)

140.

$-5-\left(-8\right)-3+\left(-7\right)$

(a)

141.

A submarine was situated 800 feet below sea level. If it ascends 250 feet, what is its new position?

a)

550 feet above sea level

b)

550 feet below sea level

c)

1050 feet above sea level

d)

1050 below sea level

142.

Marie and Nancy are scuba diving. Marie descends to a depth of 15 feet below sea level. Nancy descends to a depth of 22 feet below sea level. What is the difference in their depths?

a)

13 ft

b)

37 ft

c)

7 ft

d)

-13 ft

143.

Your bank account originally had (-$300). You deposited $500 into your bank account. How much do you have in your bank account now?

a)

$200 in the bank account

b)

(-$200) in the bank account

c)

increased by $200

d)

decreased by $200

144.

The temperature on Sunday was -15^o C. The temperature on Monday was 12 degrees less than the temperature on Sunday. What was the temperature on Monday?

a)

-27

b)

-3

c)

3

d)

27

145.

Elaine was rock climbing. She began her climb at an elevation of 100 feet below ground level, then hiked up 500 feet. What is her elevation now?

a)

600 feet about ground level

b)

600 feet below ground level

c)

400 feet above ground level

d)

400 feet below ground level

SEM 1 Math Review

Total questions: 145

Worksheet time: 12hrs 5mins

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