Grade 9: Linear Expressions & Equations

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Word problems with linear equations

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Ma<reen

Nigeria

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Froggy Jumps Grade 9: Linear Expressions & EquationsOnline version Word problems with linear equations by Ma<reen 1 Translate: 'twice a number is increased by 7' into a linear expression. a 2x + 7 b x + 7 c 2x - 7 2 If y = 3x + 5, what is y when x = 4? a 17 b 23 c 7 3 Write an equation: total cost is 8 dollars per item plus a 5 dollar fixed fee for x items. a Total = 8x - 5 b Total = 5x + 8 c Total = 8x + 5 4 Solve: 4x - 9 = 7x + 3. What is x? a x = -6 b x = 3 c x = 2 5 A rectangle area is modeled by A = 6x, with length 6 and width x. Find x if A = 84. a x = 7 b x = 14 c x = 12 6 Translate: 'the sum of a number and its triple is 16' into a linear equation. a x = 16 - 3x b x + x + 3 = 16 c x + 3x = 16 7 Solve: 2(4x - 3) = 3x + 5. What is x? a x = 1 b x = -1 c x = 11 8 A taxi fare is 2.50 plus 1.75 per mile. Write the equation for total cost C in miles m. a C = 1.75m - 2.50 b C = 2.50 + 1.75m c C = 2.50m + 1.75 9 If 5x - 2 = 3x + 8, what is the value of x? a x = 5 b x = -3 c x = 10 10 A phone plan costs $20 plus $0.10 per text. Write an equation for total cost T for t texts. a T = 0.10t - 20 b T = 20t + 0.10 c T = 20 + 0.10t

Froggy Jumps

Grade 9: Linear Expressions & EquationsOnline version

Word problems with linear equations

by Ma<reen

Translate: 'twice a number is increased by 7' into a linear expression.

2x + 7

x + 7

2x - 7

If y = 3x + 5, what is y when x = 4?

Write an equation: total cost is 8 dollars per item plus a 5 dollar fixed fee for x items.

Total = 8x - 5

Total = 5x + 8

Total = 8x + 5

Solve: 4x - 9 = 7x + 3. What is x?

x = -6

x = 3

x = 2

A rectangle area is modeled by A = 6x, with length 6 and width x. Find x if A = 84.

x = 7

x = 14

x = 12

Translate: 'the sum of a number and its triple is 16' into a linear equation.

x = 16 - 3x

x + x + 3 = 16

x + 3x = 16

Solve: 2(4x - 3) = 3x + 5. What is x?

x = 1

x = -1

x = 11

A taxi fare is 2.50 plus 1.75 per mile. Write the equation for total cost C in miles m.

C = 1.75m - 2.50

C = 2.50 + 1.75m

C = 2.50m + 1.75

If 5x - 2 = 3x + 8, what is the value of x?

x = 5

x = -3

x = 10

A phone plan costs $20 plus $0.10 per text. Write an equation for total cost T for t texts.

T = 0.10t - 20

T = 20t + 0.10

T = 20 + 0.10t

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Grade 9: Linear Expressions & Equations

Froggy Jumps

About this activity

Created by

Download the paper version to play

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Froggy Jumps

Grade 9: Linear Expressions & EquationsOnline version

by Ma<reen

Translate: 'twice a number is increased by 7' into a linear expression.

If y = 3x + 5, what is y when x = 4?

Write an equation: total cost is 8 dollars per item plus a 5 dollar fixed fee for x items.

Solve: 4x - 9 = 7x + 3. What is x?

A rectangle area is modeled by A = 6x, with length 6 and width x. Find x if A = 84.

Translate: 'the sum of a number and its triple is 16' into a linear equation.

Solve: 2(4x - 3) = 3x + 5. What is x?

A taxi fare is 2.50 plus 1.75 per mile. Write the equation for total cost C in miles m.

If 5x - 2 = 3x + 8, what is the value of x?

A phone plan costs $20 plus $0.10 per text. Write an equation for total cost T for t texts.

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