Deck 8: Solving Equations and Inequalities

Question 1

Decide if the given number is a solution to the given equation.

- $3 x=12 ; 6$

Answer 1

False

Question 2

Decide if the given number is a solution to the given equation.

- $\frac{X}{4}=7 ; 28$

Answer 2

True

Question 3

Decide if the given number is a solution to the given equation.

- $p+3=15 ; 12$

Answer 3

True

Question 4

Decide if the given number is a solution to the given equation.

- $\mathrm{p}-10=1 ; 11$

Question 5

Decide if the given number is a solution to the given equation.

- $7 \mathrm{~m}+2=60 ; 8$

Question 6

Decide if the given number is a solution to the given equation.

- $4 \mathrm{p}+2 \mathrm{p}-7=47 ; \quad 9$

Question 7

Solve the equation using the addition principle.

-a $-7=1$

A) 6
B) 8
C) -6
D) -8

Question 8

Solve the equation using the addition principle.

- $b+2=9$

A) -7
B) 7
C) -11
D) 11

Question 9

Solve the equation using the addition principle.

- $7=z+1$

A) 8
B) -8
C) 6
D) -6

Question 10

Solve the equation using the addition principle.

- $4=m-28$

A) 24
B) -24
C) 32
D) -32

Question 11

Solve the equation using the addition principle.

- $\mathrm{m}-17.18=0$

A) -16.18
B) 16.18
C) -17.18
D) 17.18

Question 12

Solve the equation using the addition principle.

- $-5+\mathrm{x}=13$

A) -18
B) 8
C) -8
D) 18

Question 13

Solve the equation using the addition principle.

- $14=-30+b$

A) 44
B) 16
C) -16
D) -44

Question 14

Solve the equation using the addition principle.

- $-25.4=25.0+\mathrm{s}$

A) 50.4
B) -50.4
C) -0.4
D) 0.4

Question 15

Solve the equation using the addition principle.

- $\frac{1}{5}+x=4$

A) $\frac{19}{5}$
B) $\frac{3}{5}$
C) 19
D) $\frac{21}{5}$

Question 16

Solve the equation using the addition principle.

- $\mathrm{k}+\frac{1}{3}=\frac{7}{12}$

A) $\frac{11}{12}$
B) 3
C) $\frac{1}{2}$
D) $\frac{1}{4}$

Question 17

Solve the equation using the addition principle.

- $\mathrm{m}-\frac{2}{9}=\frac{2}{3}$

A) $\frac{8}{9}$
B) $\frac{4}{9}$
C) $\frac{5}{9}$
D) 4

Question 18

Solve the equation using the addition principle.

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

A) 1
B) 3
C) $\frac{19}{3}$
D) $\frac{10}{3}$

Question 19

Solve the equation using the addition principle.

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

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

Question 20

Solve using the multiplication principle.

- $5 x=10$

A) $\frac{1}{2}$
B) 50
C) 2
D) 5

Question 21

Solve using the multiplication principle.

- $24=4 x$

A) 20
B) $\frac{1}{6}$
C) 96
D) 6

Question 22

Solve using the multiplication principle.

- $-x=8$

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

Question 23

Solve using the multiplication principle.

- $6 a=-36$

A) 1
B) -6
C) -42
D) 42

Question 24

Solve using the multiplication principle.

- $45=-9 k$

A) -54
B) 1
C) 54
D) -5

Question 25

Solve using the multiplication principle.

- $-7 x=-42$

A) 35
B) 6
C) 2
D) -35

Question 26

Solve using the multiplication principle.

- $8 b=-120$

A) 128
B) 1
C) -128
D) -15

Question 27

Solve using the multiplication principle.

- $96=-6 z$

A) -16
B) 102
C) 1
D) -102

Question 28

Solve using the multiplication principle.

- $-52=-4 n$

A) -48
B) 48
C) 13
D) 2

Question 29

Solve using the multiplication principle.

- $-6 s=-108$

A) 102
B) -102
C) 2
D) 18

Question 30

Solve using the multiplication principle.

- $\frac{x}{2}=14$

A) 28
B) 14
C) 26
D) 16

Question 31

Solve using the multiplication principle.

- $\frac{-t}{6}=15$

A) -90
B) -21
C) -84
D) -75

Question 32

Solve using the multiplication principle.

- $\frac{m}{-9}=25$

A) -225
B) -34
C) -216
D) -200

Question 33

Solve using the multiplication principle.

- $\frac{1}{9} x=22$

A) 31
B) 176
C) 189
D) 198

Question 34

Solve using the multiplication principle.

- $-\frac{1}{7} y=11$

A) -18
B) -70
C) -77
D) -66

Question 35

Solve using the multiplication principle.

- $\frac{4}{5} x=36$

A) $\frac{184}{5}$
B) 45
C) $\frac{176}{5}$
D) $\frac{144}{5}$

Question 36

Solve using the multiplication principle.

- $\frac{5}{7} \mathrm{k}=10$

A) 14
B) 1
C) 11
D) 12

Question 37

Solve using the multiplication principle.

- $\frac{4}{7}=\frac{5}{7} x$

A) $\frac{20}{49}$
B) $\frac{4}{5}$
C) $\frac{49}{20}$
D) $\frac{5}{4}$

Question 38

Solve using the multiplication principle.

- $-\frac{1}{8} \mathrm{z}=\frac{1}{9}$

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

Question 39

Solve using the multiplication principle.

- $-\frac{3}{8} y=\frac{8}{9}$

A) $-\frac{64}{9}$
B) $\frac{64}{27}$
C) $-\frac{27}{64}$
D) $-\frac{64}{27}$

Question 40

Solve using the multiplication principle.

- $\frac{4}{5} x=-\frac{8}{27}$

A) $-\frac{15}{8}$
B) $-\frac{8}{15}$
C) $-\frac{10}{27}$
D) $-\frac{5}{6}$

Question 41

Solve using the multiplication principle.

- $-\frac{8}{9} y=-\frac{4}{15}$

A) $\frac{3}{10}$
B) $\frac{15}{8}$
C) $\frac{8}{15}$
D) $\frac{6}{5}$

Question 42

Solve using the multiplication principle.

- $2.7 x=21.6$

A) $\frac{1}{8}$
B) 8
C) 18.9
D) 13.6

Question 43

Solve using the multiplication principle.

- $84.6=9.4 y$

A) 75.6
B) $\frac{1}{9}$
C) 75.2
D) 9

Question 44

Solve using the multiplication principle.

- $-4.2 y=29.4$

A) $-\frac{1}{7}$
B) -25.2
C) -22.4
D) -7

Question 45

Solve using the multiplication principle.

- $6.7 t=-46.9$

A) -40.2
B) $-\frac{1}{7}$
C) -39.9
D) -7

Question 46

Solve using the multiplication principle.

- $-44.1=4.9 \mathrm{z}$

A) $-\frac{1}{9}$
B) -9
C) -35.1
D) -39.2

Question 47

Solve using the multiplication principle.

- $-4.2 m=-8.4$

A) $\frac{1}{2}$
B) 2
C) 4.2
D) 6.4

Question 48

Solve using the multiplication principle.

- $40.9 x=736.2$

A) 718.2
B) 695.3
C) 18
D) $\frac{1}{18}$

Question 49

Solve using the multiplication principle.

- $-35.5 y=532.5$

A) -517.5
B) -497
C) -15
D) $-\frac{1}{15}$

Question 50

Solve using the multiplication principle.

- $41.5 t=-747$

A) -729
B) -18
C) -705.5
D) $-\frac{1}{18}$

Question 51

Solve using the multiplication principle.

- $-48.3 \mathrm{~m}=-724.5$

A) 709.5
B) 676.2
C) $\frac{1}{15}$
D) 15

Question 52

Solve using the multiplication principle.

- $\frac{1}{2} b=-2.75$

A) -1.75
B) -1.00
C) -0.75
D) -5.50

Question 53

Solve using the multiplication principle.

- $-\frac{3}{7} x=-12.75$

A) 16.75
B) 26.75
C) 5.75
D) 29.75

Question 54

Solve using the multiplication principle.

- $-\frac{3}{8} x=28.41$

A) -14.53
B) -72.76
C) -20.41
D) -75.76

Question 55

Solve.

- $6 r+4=58$

A) 5
B) 9
C) 52
D) 48

Question 56

Solve.

- $9 n-2=70$

A) 8
B) 67
C) 63
D) 9

Question 57

Solve.

- $27=5 x-3$

A) 29
B) 6
C) 8
D) 25

Question 58

Solve.

- $178=14 \mathrm{x}+10$

A) 2
B) 158
C) 12
D) 154

Question 59

Solve.

- $8 x+8=-56$

A) -72
B) -7
C) -6
D) -8

Question 60

Solve.

- $-3+7 p=-6$

A) $-\frac{10}{7}$
B) $-\frac{9}{7}$
C) $-\frac{3}{7}$
D) $\frac{3}{7}$

Question 61

Solve.

- $-6 x-25=-61$

A) $\frac{43}{3}$
B) -30
C) -6
D) 6

Question 62

Solve.

- $-7 \mathrm{n}-2=68$

A) 67
B) 10
C) -10
D) -63

Question 63

Solve.

- $-47=-6 x+7$

A) 52
B) -9
C) 48
D) 9

Question 64

Solve.

- $\frac{1}{3} \mathrm{f}-3=1$

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

Question 65

Solve.

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

A) 11
B) 13
C) -13
D) - 11

Question 66

Solve.

- $4 x+3 x=28$

A) 21
B) 4
C) 7
D) $\frac{7}{3}$

Question 67

Solve.

- $-8 x-5 x=-91$

A) -7
B) -78
C) 7
D) 8

Question 68

Solve.

- $4 y+24=8 y$

A) -2
B) 6
C) -6
D) 2

Question 69

Solve.

- $9 x+5=4 x+30$

A) $\frac{25}{13}$
B) 7
C) $\frac{35}{13}$
D) 5

Question 70

Solve.

- $10 x-6=58-6 x$

A) 13
B) 4
C) -4
D) 16

Question 71

Solve.

- $4 y-7=5+y$

A) 4
B) $\frac{12}{5}$
C) $-\frac{2}{3}$
D) $-\frac{2}{5}$

Question 72

Solve.

- $8-9 x=5 x-8 x-22$

A) $\frac{11}{3}$
B) $\frac{7}{6}$
C) 5
D) $\frac{11}{6}$

Question 73

Solve.

- $-3 a+4+4 a=9-30$

A) 25
B) 43
C) -25
D) -43

Question 74

Solve.

- $-6 b+2+4 b=-3 b+7$

A) -7
B) 5
C) 7
D) -2

Question 75

Solve.

- $5 x-7+5 x=8 x+49-5 x$

A) 7
B) 8
C) 9
D) 10

Question 76

Solve. Clear fractions first.

- $\frac{1}{6} y-3=4$

A) 44
B) -42
C) -44
D) 42

Question 77

Solve. Clear fractions first.

- $\frac{4}{3} y-24=-16$

A) 6
B) 30
C) 1
D) -6

Question 78

Solve. Clear fractions first.

- $x+\frac{1}{3} x=12$

A) 36
B) 3
C) 12
D) 9

Question 79

Solve. Clear fractions first.

- $\frac{1}{5} r+\frac{6}{5}=\frac{1}{7} r+\frac{8}{7}$

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

Question 80

Solve. Clear fractions first.

- $\frac{4}{5}+\frac{1}{6} x=10$

A) $\frac{264}{5}$
B) 5
C) $\frac{36}{5}$
D) $\frac{276}{5}$