Grade 8 Math Test: Linear Equations

What is the equation modelled with tiles in this picture?

• 2x + 3 = 7

• 2 + 3x = 7

• 2 + 3x = -7

• 2x + 3 = -7

Solve the equation in the picture. Do your work on paper (to send in later) and choose the correct answer.

x = _______

Solve this equation using algebra. On paper, verify the solution with a plugin.

2x - 7 = 9

x = ___

• 8

• 7

• 9

• -1

Solve this equation using algebra. On paper, verify the solution with a plugin.

-42 = 5c - 27

c = _____

• -15

• 15

• 3

• -3

 $4\ -\ \frac{p}{5}\ =\ 13$  

Solve this equation using algebra. On paper, verify the solution with a plugin.

• 45

• -45

• 52

• -52

 $10\left(y+3\right)$  = ________

Simplify.  Use the distributive property.

• 10y + 3

• 13y

• 10y + 30

• 13 y + 3

 $12\ \left(x\ -\ 7\right)\ =\ 96$  

Solve for x. Use the distributive property. Do your work on a separate piece of paper if necessary.

• x = 15

• x = 8

• x = 12

•  x = -7

At the fair, 5 friends each bought an $8 meal voucher and one ice-cream voucher. The total cost of the vouchers was $55. Choose the equation that represents this problem.

•  $5\left(f+1\right)=55$  

•  $5\left(f-8\right)=55$  

•  $5\left(f+8\right)=55$  

•  $5f\ +8=55$  

At the Garlic festival, 5 friends each bought an $8 meal voucher and one garlic ice-cream voucher. The total cost of the vouchers was $55. What is the cost of each voucher for delicious garlic ice-cream?

Write and solve an equation, using the method of your choice (algebra, tiles, etc.). Verify your solution with a plug in. Do your work here, or write it on paper and turn it in with your test.

Write your final answer in a sentence (below).

Copy and complete the table of values on paper. Write the correct values for 'y' in order from least to greatest.