Grade 8 Math Test: Linear Equations

What is the equation modelled with tiles in this picture?

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

x = (a)  

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

2x - 7 = 9

x = ___

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

-42 = 5c - 27

c = _____

 $4\ -\ \frac{p}{5}\ =\ 13$  

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

 $10\left(y+3\right)$  = ________

Simplify.  Use the distributive property.

 $12\ \left(x\ -\ 7\right)\ =\ 96$  

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

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.

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.