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5.04 Solving one-step equations

Worksheet
One-step equations
1

Solve:

a

x + 6 = 15

b

x + 12 = 9

c

x + 4 = 9

d

x + 3 = 11

e

x + 2 = 15

f

x + 9 = 26

g

10 + x = 19

h

x + 2 = -7

2

Solve:

a

x - 7 = 7

b

x - 4 = 10

c

x - 10 = 30

d

x - 5 = 12

e

x - 8 = 21

f

x - 3 = 16

g

x - 10 = -16

h

x - 20 = -2

3

Solve:

a

5 x = 45

b

4 x = 20

c

3 x = 18

d

3x = 27

e

2x = 14

f

5x = -25

g

-9x = 90

h

-2x = -100

4

Solve:

a

\dfrac{x}{9} = 3

b

\dfrac{x}{8} = 6

c

\dfrac{x}{10} = 9

d

\dfrac{x}{4} = 5

e

\dfrac{x}{3} = 8

f

\dfrac{x}{2} = 11

g

\dfrac{x}{6} = 8

h

\dfrac{x}{4} = -10

5

Solve:

a

9 t = 3

b

7 t = 56

c

\dfrac{t}{6} = 10

d

\dfrac{1}{8} x = 6

e

x - 8 = - 20

f

21 = x + 13

g

88 = 11n

h

12 = 3 x

i

6 = \dfrac{x}{8}

j

t - 15 = 0

k

7 = x - 1

l

10 t = 60

6

Determine whether the given value of x is a solution to the equation:

a

x = 6 ; 8 x = 51

b

x = 4; 2 x = 2 \times 4

c

x = 19; \dfrac{x}{2} = 8

d

x = 24; \dfrac{x}{3} = 8

e

x = 9 ; x - 10 = - 1

f

x = 0; x - 4 = - 5

g

x = 6: x + 1 = 7

h

x = 3; x - 3 = - 3

7

Find the unknown number for each of the following:

a

When 10 is added to a number, the result is 12.

b

When a number is multiplied by 10, the result is 60.

c

When 20 is subtracted to a number, the result is 5.

d
When a number is divided by 8, the result is 9.
e

The sum of a number and 39 is 83.

f

The product of 3 and a number is 18.

g

17 less than a number is 25.

h

The quotient of a number and 8 is -12.

Applications
8

John and Uther do some fundraising for their sporting team. Together, they raised \$403. If John raised \$ m, and Uther raised \$71:

a

Write an equation that represents the relationship between the amounts each contributed.

b

Find the value of m.

9

Kate and Isabelle donate to a charity. Together, they donated \$600. If Kate donated \$272 more than Isabelle, and Isabelle donated \$p:

a

Write an equation in terms of p that represents the relationship between the different amounts, and then solve for p.

b

How much did Kate donate?

10

Justin divides a deck of cards into 7 even groups. There are 12 cards in each group. Let c be the total number of cards in the deck.

a

Write down the equation that represents the relationship between the total number of cards in the deck and the number of cards in each group.

b

Now, solve the equation.

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Outcomes

MA.6.AR.2.2

Write and solve one-step equations in one variable within a mathematical or real-world context using addition and subtraction, where all terms and solutions are integers.

MA.6.AR.2.3

Write and solve one-step equations in one variable within a mathematical or real-world context using multiplication and division, where all terms and solutions are integers.

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