Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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A white square represents +1, and a black rectangle represents the variable
-x. Find the value of x. 
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2.
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Four more than three times a number is 16. Let n represent the number.
Solve for n.
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3.
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Solve this equation. 4y + 8 = 36
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4.
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Melissa has $300 to spend on school clothes. She spends $100 on a coat and
some sweaters that are on special for $20 each. Solve the equation  to find the greatest
number of sweaters s that Melissa can buy. a. | 15 sweaters | b. | 11 sweaters | c. | 9 sweaters | d. | 10
sweaters |
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5.
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Write an equation for this sentence.
A number divided by 4 is 11.
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6.
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Write an equation for this sentence.
A number divided by -2 is 11.
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7.
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Write an equation for this sentence.
Add 6 to a number divided by 3 and the
answer is 16.
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8.
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Evaluate. 2(5 + 8)
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9.
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Solve this equation:  a. | - | b. | –1 | c. | -140 | d. | -11 |
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10.
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Doreen chose an integer. She added 4, then multiplied the sum by –3.
The product was –15. What integer did Doreen start with?
a. | – | b. | –1 | c. | 1 | d. | 0 |
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11.
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Complete this table of values for the relation  . 
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12.
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Complete this table of values for the relation  . 
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13.
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Marsha works part-time in a coffee shop and earns $12 per hour. An equation
for this relation is  , where h represents the number of hours Marsha
worked and w represents her earnings in dollars. In one week Marsha earned $180. How many
hours did she work?
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14.
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This graph shows the linear relation  .  Write the ordered pair
for point P. a. | (1, 1) | b. | (7, 3) | c. | (3, 3) | d. | (3,
7) |
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15.
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Complete this table of values for the linear relation  
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Short Answer
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16.
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Use this balance-scales model to solve for x. 
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17.
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A white square represents +1, a black square represents –1, and a black
rectangle represents – x. Find the value of x. 
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18.
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a) Write an equation
you could solve using balance scales or algebra tiles.
b) Write an
equation you could solve using algebra tiles but not balance-scales.
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19.
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Miranda opened a checking account with $560. She withdrew the same amount each
week for 13 weeks. Her balance was then $365. a) Write an equation you can use to find how
much money Miranda withdrew each week.
b) Solve the equation and
solve the problem.
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20.
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Solve this equation. 
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21.
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Solve this equation. 
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22.
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Write an equation for this sentence, then solve the equation.
When 7 is
subtracted from a number divided by 3, the result is 14.
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23.
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Write an equation for this sentence, then solve the equation.
When a number
divided by 5 is subtracted from 13, the result is 8.
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24.
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Which pairs of expressions are equivalent? a) 9(q + 2) and 9q +
2
b) 7(t + 5) and 7t +
35
c) 8(y + 3) and 8y +
11
d) 9(x + 5) and 9x + 45
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25.
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Solve this equation: 
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26.
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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.
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27.
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Solve this equation: 
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28.
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The graph shows the relation  . Write the ordered pair for point
Q. 
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29.
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Graph the relation  for integer values of x from 0 to 4.
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30.
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This graph shows the linear relation  . Describe the relationship between
the variables x and y. 
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Problem
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31.
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Sketch a balance-scales model to represent this equation:  Solve the
equation for x. Show your work.
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32.
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The 3 sides of a triangle measure x cm, (x + 5) cm, and (x
+ 4) cm.
If the perimeter of the triangle is 27 cm, find the side lengths of the
triangle.
Show your work.
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33.
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Simplify this expression.  Show your work.
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34.
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A restaurant owner pays his cook $32 per hour and his waiters $14 per
hour. a) Write an expression for the
hourly cost of employing 1 cook and w waiters.
b) How much
would it cost to employ 1 cook and 3 waiters for 24 h.
Explain your
method.
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35.
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The price of a calculator was reduced by $5.
Mr. Maxwell bought 32
calculators for use in his classroom.
The total cost of the calculators before taxes was $960.
What was the original price of the calculator?
Show your work.
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36.
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Carmel used the distributive property to solve this equation:  Here’s her work.  a) Check Carmel’s work. Is her solution
correct?
b) If your answer is yes, verify the solution. If your
answer is no, describe the error, then correct it.
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37.
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Make a table of values for the relations  and  . For what
value of x will the relations have the same y-value?
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38.
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Make a table of values for the relation  for integer values of
x from –3 to 3. a) Find
the value of y when x = 7.
b) Find the value of
x when y = 7.
c) Estimate the value of y when
x = 1.5.
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39.
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This table of values is for the linear relation with equation  , where
k and p are constants. Find the values of k and p. Show your
method. 
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40.
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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  . 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?
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