Name: 
 

Math 8 LG14 Unit 4 Practice Test #3



Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 

Four more than three times a number is 16. Let n represent the number. Solve for n.
a.
13
b.
9
c.
-4
d.
4
 

 2. 

Write an equation for this sentence.
40 less than a number is 10.
a.
mc002-1.jpg
c.
mc002-3.jpg
b.
mc002-2.jpg
d.
mc002-4.jpg
 

 3. 

Write an equation for this situation.
Patricia has p posters. She sold 8 and has 18 left.
a.
mc003-1.jpg
c.
mc003-3.jpg
b.
mc003-2.jpg
d.
mc003-4.jpg
 

 4. 

Solve this equation. mc004-1.jpg
a.
+1
b.
7
c.
–24
d.
–7
 

 5. 

Write an equation for this sentence.
Add 6 to a number divided by 3 and the answer is 16.
a.
mc005-1.jpg
b.
mc005-2.jpg
c.
mc005-3.jpg
d.
mc005-4.jpg
 

 6. 

Solve this equation. mc006-1.jpg
a.
83
b.
–13
c.
56
d.
10
 

 7. 

Solve this equation. mc007-1.jpg
a.
-32
b.
32
c.
-12
d.
12
 

 8. 

Evaluate. 2(5 + 8)
a.
26
b.
18
c.
21
d.
15
 

 9. 

Expand. mc009-1.jpg
a.
4x + 7
b.
4x + 28
c.
4 + x + 7
d.
28x
 

 10. 

Expand. mc010-1.jpg
a.
mc010-2.jpg
b.
mc010-3.jpg
c.
mc010-4.jpg
d.
mc010-5.jpg
 

 11. 

Solve this equation: mc011-1.jpg
a.
mc011-2.jpg
b.
mc011-3.jpg
c.
7
d.
10
 

 12. 

Complete this table of values for the relation mc012-1.jpg.
mc012-2.jpg
a.
mc012-3.jpg
c.
mc012-5.jpg
b.
mc012-4.jpg
d.
mc012-6.jpg
 

 13. 

Make a table of values for the relation mc013-1.jpg for x = 1, 2, 3, and 4.
a.
mc013-2.jpg
c.
mc013-4.jpg
b.
mc013-3.jpg
d.
mc013-5.jpg
 

 14. 

Complete this table of values for the linear relation mc014-1.jpg
mc014-2.jpg
a.
mc014-3.jpg
c.
mc014-5.jpg
b.
mc014-4.jpg
d.
mc014-6.jpg
 

 15. 

Which relations have graphs that are lines going up to the right?
i)      mc015-1.jpg
ii)      mc015-2.jpg
iii)      mc015-3.jpg
iv)      mc015-4.jpg
a.
ii and iv
b.
i and iii
c.
ii
d.
i, ii, and iv
 

Short Answer
 

 16. 

A set of balance scales has an unknown mass and a mass of 4 g in its left pan.
The scales are balanced by adding a mass of 21 g to the right pan.
Find the unknown mass.
 

 17. 

Solve this equation. sa017-1.jpg
 

 18. 

Jacqui has $56 in her savings account. She saves $25 each week.
How long will it take before she has $406 in her account?
Write an equation, then solve the problem.
 

 19. 

Solve this equation. sa019-1.jpg
 

 20. 

Which value, 4, 6, or 8, is the correct solution to the equation sa020-1.jpg? Explain.
 

 21. 

Write an equation for this sentence, then solve the equation.
When 7 is subtracted from a number divided by 3, the result is 14.
 

 22. 

Write an equation for this sentence, then solve the equation.
When a number divided by 7 is subtracted from 2, the result is 0.
 

 23. 

Expand. sa023-1.jpg           
 

 24. 

Ms. Jones pays for 4 teens to go to a local theatre and supplies each with a snack.
The admission cost for a teen is $11 and a snack costs $9.
a)      Write 2 different expressions to find the total cost of the outing.
b)      How much does Ms. Jones have to pay?
 

 25. 

Solve this equation: sa025-1.jpg
 

 26. 

The perimeter of a rectangle is 46 cm. The rectangle has length 13 cm.
Write an equation to find the width, w, that involves the distributive property.
Solve the equation.
 

 27. 

Make a table of values for the relation sa027-1.jpg for x = 1, 2, 3, 4, and 5.
 

 28. 

Make a table of values for the relation sa028-1.jpg for x = 0, 1, 2, 3, and 4.
 

 29. 

This graph shows the linear relation sa029-1.jpg.
Describe the relationship between the variables x and y.
sa029-2.jpg
 

 30. 

The graph shows the linear relation sa030-1.jpg.
Describe the relationship between the variables x and y.
sa030-2.jpg
 

Problem
 

 31. 

If  a star has a value of 26, what is the value of the happy face?
What can you say about the value of the diamond shape?
pr031-1.jpg
 

 32. 

The term value of a pattern is pr032-1.jpg, where n is the term number.
a)      Write the first 4 terms of the pattern.
b)      Find the term number for the term value –64.
Show your work.
 

 33. 

Solve this equation. pr033-1.jpg pr033-2.jpg
 

 34. 

Solve this equation. pr034-1.jpg
Show your work.
 

 35. 

Expand. pr035-1.jpg
Show your work.
 

 36. 

Solve this equation: pr036-1.jpg
Show your work.
 

 37. 

The length of each side of an equilateral triangle is increased by 5 cm.
The perimeter of the new triangle is 72 cm. What was the side length of the original triangle?
a)      Write an equation that can be solved using the distributive property.
b)      Solve the equation and verify the solution.
 

 38. 

Marie has $1140 in the bank. She withdraws $95 every month.
An equation for this relation is pr038-1.jpg.
a)      What does c represent?
a)      How much money will Marie have in her account after 8 months?
b)      How long will it take Marie to withdraw all the money in her account?
Show your work.
 

 39. 

A box contains 8 candies. The candies have to be shared between Cam and Kathy.
Let c represent the number of candies Cam gets and k represent the number that Kathy gets.
An equation for this relation is pr039-1.jpg.
a)      Create a table of values for the relation.
b)      Graph the relation.
c)      Which ordered pair suggests the fairest way to share the candies?
 

 40. 

Patricia makes and sells cards.
The cost of producing a set of cards is $210 and each card sells for $11.
If s represents the number of cards sold and p represents Patricia’s profit in dollars, an equation for this relation is pr040-1.jpg.
a)      Make a table of values for s = 0, 5, 10, 15, 20, and 25.
b)      What does a negative value of p mean?
c)      What is Patricia’s profit if she sells 50 of the set of cards?
 



 
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