Deck 9: More on Algebra

Question 1

Solve.

-a $-23=4$

A) 27
B) 19
C) -27
D) -19

Answer 1

27

Question 2

Solve.

- $19=\mathrm{b}-16$

A) -35
B) 35
C) 3
D) -3

Answer 2

35

Question 3

Solve.

- $a+2=19$

A) -17
B) 21
C) -21
D) 17

Answer 3

17

Question 4

Solve.

- $-6=b-10$

A) 4
B) -16
C) -4
D) 16

Question 5

Solve.

- $-20=f-22$

A) -2
B) -42
C) 2
D) 42

Question 6

Solve.

- $-27=22+\mathrm{f}$

A) 5
B) -5
C) 49
D) -49

Question 7

Solve.

- $\mathrm{t}-1=11$

A) -12
B) 10
C) 12
D) -10

Question 8

Solve.

- $21=-16+n$

A) -37
B) 5
C) 37
D) -5

Question 9

Solve.

- $\mathrm{t}-(-10)=9$

A) 1
B) -19
C) 19
D) -1

Question 10

Solve.

- $\frac{1}{3}+x=5$

A) $\frac{4}{3}$
B) $\frac{14}{3}$
C) $\frac{16}{3}$
D) 14

Question 11

Solve.

- $\frac{6}{5}+y=-2$

A) -16
B) $-\frac{4}{5}$
C) $\frac{4}{5}$
D) $-\frac{16}{5}$

Question 12

Solve.

- $\mathrm{c}-\frac{1}{2}=0$

A) $\frac{1}{2}$
B) 2
C) - 2
D) $-\frac{1}{2}$

Question 13

Solve.

- $x+\frac{1}{11}=\frac{10}{11}$

A) 1
B) $\frac{9}{10}$
C) $\frac{9}{11}$
D) $\frac{8}{11}$

Question 14

Solve.

- $x-\frac{8}{21}=-\frac{5}{21}$

A) $\frac{13}{21}$
B) $\frac{1}{7}$
C) $-\frac{1}{7}$
D) $-\frac{13}{21}$

Question 15

Solve.

- $2.8+\mathrm{x}=10$

A) 6.7
B) 7.2
C) 12.3
D) 12.8

Question 16

Solve.

- $-0.9+x=20.0$

A) 19.1
B) 20.9
C) 20.4
D) 18.6

Question 17

Solve.

- $6.2=24-x$

A) 17.8
B) 17.3
C) 30.2
D) 29.7

Question 18

Solve.

- $2.9=19.8-\mathrm{x}$

A) 22.2
B) 16.4
C) 22.7
D) 16.9

Question 19

Solve.

- $10.6=-18.6-\mathrm{n}$

A) 29.2
B) 8
C) -8
D) -29.2

Question 20

Solve.

- $-4 \mathrm{a}=28$

A) 1
B) -7
C) -32
D) 32

Question 21

Solve.

- $16=-8 \mathrm{k}$

A) -2
B) 1
C) 24
D) -24

Question 22

Solve.

- $-2 x=-16$

A) -14
B) 14
C) 8
D) 2

Question 23

Solve.

- $-2 b=28$

A) 30
B) -14
C) 1
D) -30

Question 24

Solve.

- $\frac{x}{-3}=-2$

A) 0
B) -6
C) -5
D) 6

Question 25

Solve.

- $0=\frac{a}{-13}$

A) -13
B) 13
C) 1
D) 0

Question 26

Solve.

- $\frac{n}{3}=5$

A) 1
B) 15
C) 7
D) 8

Question 27

Solve.

- $-2=\frac{\mathrm{c}}{-9}$

A) -11
B) -12
C) 0
D) 18

Question 28

Solve.

- $\frac{m}{3}=10$

A) 13
B) 12
C) 30
D) 3

Question 29

Solve.

- $9.2 \mathrm{x}=73.6$

A) 64.4
B) 65.6
C) $\frac{1}{8}$
D) 8

Question 30

Solve.

- $-9.8 y=39.2$

A) -29.4
B) $-\frac{1}{4}$
C) -4
D) -35.2

Question 31

Solve.

- $5.3 t=-42.4$

A) -37.1
B) $-\frac{1}{8}$
C) -34.4
D) -8

Question 32

Solve.

- $-5.5 m=-16.5$

A) 13.5
B) 3
C) $\frac{1}{3}$
D) 11

Question 33

Solve.

- $21.3 x=42.6$

A) 40.6
B) 2
C) 21.3
D) $\frac{1}{2}$

Question 34

Solve.

- $\frac{1}{3} x=14$

A) 17
B) 28
C) 42
D) 39

Question 35

Solve.

- $-\frac{1}{8} \mathrm{x}=17$

A) -136
B) -119
C) -25
D) -128

Question 36

Solve.

- $\frac{48}{35} x=-\frac{8}{7}$

A) $-\frac{5}{6}$
B) $-\frac{15}{32}$
C) $-\frac{32}{15}$
D) $-\frac{10}{3}$

Question 37

Solve.

- $-\frac{8}{21} y=-\frac{32}{15}$

A) $\frac{28}{5}$
B) $\frac{35}{16}$
C) $\frac{7}{20}$
D) $\frac{16}{35}$

Question 38

Solve.

- $-\frac{4}{3} x=-4.96$

A) 1.96
B) 3.72
C) 10.76
D) -0.28

Question 39

Solve the equation.

- $2 r+3=21$

A) 7
B) 16
C) 9
D) 20

Question 40

Solve the equation.

- $10 \mathrm{n}-2=78$

A) 70
B) 9
C) 74
D) 8

Question 41

Solve the equation.

- $35=5 x-10$

A) 44
B) 9
C) 40
D) 17

Question 42

Solve the equation.

- $26=2 x+10$

A) 8
B) 14
C) 3
D) 18

Question 43

Solve the equation.

- $179=15 x+14$

A) 2
B) 11
C) 154
D) 150

Question 44

Solve the equation.

- $5+4 p=-10$

A) $-\frac{5}{4}$
B) $-\frac{3}{2}$
C) $-\frac{15}{4}$
D) $\frac{15}{4}$

Question 45

Solve the equation.

- $\frac{1}{4} y-1=7$

A) 32
B) 34
C) -32
D) -34

Question 46

Solve the equation.

- $\frac{1}{18} \mathrm{~b}-9=-8$

A) -20
B) 18
C) 20
D) -18

Question 47

Solve the equation.

- $32=23-5 r$

A) $-\frac{147}{5}$
B) -11
C) $-\frac{9}{5}$
D) $\frac{9}{5}$

Question 48

Solve the equation.

- $44=27-8 \mathrm{~s}$

A) $-\frac{17}{8}$
B) 35
C) $\frac{17}{8}$
D) $-\frac{71}{8}$

Question 49

Solve the equation.

- $19+\frac{x}{5}=24$

A) 1
B) 215
C) 25
D) 101

Question 50

Solve the equation.

- $9-\frac{t}{7}=1$

A) -56
B) 2
C) $\frac{8}{7}$
D) 56

Question 51

Solve the equation.

- $\frac{9}{4} y+21=36$

A) $\frac{135}{4}$
B) 16
C) $\frac{20}{3}$
D) 51

Question 52

Solve the equation.

- $9-\frac{6}{5} d=-13$

A) $\frac{55}{3}$
B) $\frac{22}{5}$
C) $-\frac{55}{3}$
D) 110

Question 53

Solve the equation.

- $22+\frac{m}{5}=-18$

A) -112
B) 200
C) -200
D) -8

Question 54

Solve the equation. Round the solution to the nearest tenth.

- $897=-651 \mathrm{k}$

A) 1548
B) -1548
C) -0.73
D) -1.4

Question 55

Solve the equation. Round the solution to the nearest tenth.

- $156=257 \mathrm{~m}$

A) 1.65
B) -0.4
C) -101
D) 0.6

Question 56

Solve the equation. Round the solution to the nearest tenth.

- $-3.6=6.83 \mathrm{v}$

A) -10.4
B) -1.52
C) -1.9
D) -0.5

Question 57

Solve the equation. Round the solution to the nearest tenth.

- $-5.7=\frac{n}{4.85}$

A) -1.18
B) -27.6
C) -10.55
D) 6

Question 58

Solve the equation. Round the solution to the nearest tenth.

- $7.5=\frac{\mathrm{n}}{-2.93}$

A) 10.4
B) 22
C) -22
D) -2.6

Question 59

Solve the equation. Round the solution to the nearest tenth.

- $56.7 \mathrm{z}+23.93=4.46$

A) -2.9
B) -76.2
C) -0.3
D) 0.3

Question 60

Solve the equation. Round the solution to the nearest tenth.

- $-42.5=16.1 \mathrm{w}-4.47$

A) -2.9
B) -2.4
C) -54.1
D) -0.4

Question 61

Solve the equation. Round the solution to the nearest tenth.

- $\frac{\mathrm{z}}{0.32}-0.13=-0.22$

A) -0.3
B) 0
C) -0.112
D) 0.2

Question 62

Solve the equation. Round the solution to the nearest tenth.

- $\frac{\mathrm{n}}{3.4}+11.4=0.26$

A) -11.1
B) -37.9
C) 39.6
D) -10.5

Question 63

Solve the equation. Round the solution to the nearest tenth.

- $-\frac{\mathrm{n}}{8.3}+18.7=3.59$

A) -48.5
B) 125.4
C) 1.8
D) -125.4

Question 64

Use an equation to solve the problem.

-A tree 11 feet high grows at the rate of 3 feet each year. How many years will it take for the tree to grow to a height of 29 feet?

A) 15 years
B) 11 years
C) 20 year(s)
D) 6 years

Question 65

Use an equation to solve the problem.

-Pennies are packaged 50 in a roll. A mother gave her son 161 pennies for his bank and she had 39 pennies left over. How many rolls of pennies did she use?

A) 7 rolls
B) 4 rolls
C) 6 rolls
D) 5 rolls

Question 66

Use an equation to solve the problem.

-Elaine had 5 buttons and her grandmother donated 5 cards of buttons to the collection. Elaine sorted the buttons into 5 piles, putting 8 buttons in each pile. How many buttons were on each card from Elaine's grandmother?

A) 33 buttons
B) 36 buttons
C) 7 buttons
D) 3 buttons

Question 67

Use an equation to solve the problem.

-Junior high classes of 35 students each met in the cafeteria to take achievement tests. If exactly 5 students sat at each table and 28 tables were used, how many classes took the tests?

A) 17 classes
B) 4 classes
C) 7 classes
D) 6 classes

Question 68

Use an equation to solve the problem.

-The height of the tallest building in Anne's home town is $617 \mathrm{ft}$ , which is about $233 \mathrm{ft}$ taller than the tallest building in Laurie's home town. What is the height of the tallest building in Laurie's home town?

A) $384 \mathrm{ft}$
B) $850 \mathrm{ft}$
C) $497 \mathrm{ft}$
D) $233 \mathrm{ft}$

Question 69

Use an equation to solve the problem.

-The area of Mark's backyard is about 5 times the area of Jon's backyard. The area of Mark's backyard is $3695 \mathrm{ft}^{2}$ . What is the area of Jon's backyard?

A) $3695 \mathrm{ft}^{2}$
B) $852 \mathrm{ft}^{2}$
C) $3690 \mathrm{ft}^{2}$
D) $739 \mathrm{ft}^{2}$

Question 70

Use an equation to solve the problem.

-A car rental business rents a compact car at a daily rate of $\$ 39.20$ plus 20 cents per mile. Mike can afford to spend $\$ 81$ on the car rental for one day. How many miles can he drive and stay within his budget?

A) 204 miles
B) 214 miles
C) 209 miles
D) 199 miles

Question 71

Use an equation to solve the problem.

-If Gloria received a $6 \%$ raise and is now making $\$ 21,200$ a year, what was her salary before the raise?

A) $\$ 21,000$
B) $\$ 20,000$
C) $\$ 20,200$
D) $\$ 19,200$

Question 72

Use an equation to solve the problem.

-If Jon deposits $\$ 560$ into his checking account the new balance will be $\$ 995$ . What is the present balance of the account?

A) $\$ 435$
B) $\$ 560$
C) $\$ 1.78$
D) $\$ 1555$

Question 73

Use an equation to solve the problem.

-Andrea spent $\$ 167.74$ at the mall. She bought a CD for $\$ 15.39$ . She bought a sweater for $\$ 61.99$ . Blue jeans were on sale for $\$ 22.59$ , so she bought several pairs. How many pairs of blue jeans did Andrea buy?

A) 4
B) 5
C) 6
D) 3

Question 74

Simplify.

- $5 x+6 x$

A) $30 x$
B) $11 x$
C) $11 x^{2}$
D) $x^{9}$

Question 75

Simplify.

- $7 a-a$

A) $6 a$
B) $6 a^{2}$
C) $8 \mathrm{a}$
D) $7 a^{2}$

Question 76

Simplify.

- $8 \mathrm{~m}-19 \mathrm{~m}$

A) $-11 m^{2}$
B) $11 \mathrm{~m}$
C) $27 \mathrm{~m}$
D) $-11 \mathrm{~m}$

Question 77

Simplify.

- $-5 b+8 b$

A) $-3 b$
B) $3 b^{2}$
C) $3 \mathrm{~b}$
D) $-13 \mathrm{~b}$

Question 78

Simplify.

- $2 y+4 y$

A) $6 y$
B) $8 \mathrm{y}$
C) $6+y$
D) $-2 y$

Question 79

Simplify.

- $8 a-3 a+5$

A) $11 a+5$
B) $10 \mathrm{a}$
C) $5 a+5$
D) $-5 a+5$

Question 80

Simplify.

- $\frac{3}{5} m+\frac{3}{25} m$

A) $\frac{18}{25} m^{2}$
B) $\frac{91}{125} \mathrm{~m}^{2}$
C) $\frac{91}{125} \mathrm{~m}$
D) $\frac{18}{25} \mathrm{~m}$