Name:_____________________________________________Date:___________________Class:_____________
QUIZ REVIEW:
Translating and Simplifying Expressions
The QUIZ is scheduled for _______________________. Use this review to help you prepare
for this assessment. Make sure you are familiar with the following vocabulary.
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VOCABULARY: numerical expression, algebraic expression, constant, coefficient, term,
operation, variable, exponent, base, translate, evaluate
DIRECTIONS: FIRST, FILL IN THE HINT BOXES TO HELP YOU BEGIN THINKING
ABOUT EACH PROBLEM. THEN, ANSWER THE FOLLOWING QUESTIONS
REFERRING TO YOUR CLASS NOTES, IF NEEDED.
1. Give an example for each of the following:
a. Numerical expression _______________
b. Algebraic expression _______________
c. Exponent
d. Base
_______________
_______________
2. Find the value for each of the following:
a. 52
Hint Box:
c. 16
What does an exponent
represent?
b. 103
d. 43
3. Write 27 with an exponent by using 3 as a base.
4. Fill in the chart below.
Algebraic
Expression
5a + 3
X2 – 11
3y + 1
Variable
Coefficient
Constant
Number of
Terms
Different denominators:
5. SIMPLIFY THE FOLLOWING NUMERICAL EXPRESSIONS USING THE ORDER OF
OPERATIONS. USE THE FUNNEL METHOD.
2
2
a. 8 – (7 + 1)
b. 9 + 2(11 + 4) ÷ 5 – 2
Hint Box:
What is the order of
operations?
(What is different about the
MD and the AS?)
c. (24 – 3 × 4)3
d.
(10  4) 2
6
What do you need to do when
there is more than one
operation inside the
parentheses?
e.
144 ¸12 ´ 2
f.
12 + ( 24 ´13- 3)
What operation is indicated in
the expression - 6(3)?
g. 2(5.4) – 12.672 ÷ 2
h. 17+ 2(8-1+ 33 )
DIRECTIONS: Write an algebraic expression for
Hint Box:
each word phrase below.
6. The quotient of a number and fourteen.
What is important to remember about the
notation when writing the product between
a number and a variable?
7. Eight less than a number
8. One-third of a number
Does an expression have an equal sign?
9. A number tripled
Use the Key Words Chart to write all the
words that represent the following
operations:
10. The sum of a number and five
Addition:
11. Ten more than a number
12. The difference between a number and
Subtraction:
sixteen
13. A number diminished by two
Multiplication:
14. The product of a number and 14
Division:
15. The difference between five and n doubled
16. Three fourths of p minus six
DIRECTIONS: For each situation below, define the variable and write an algebraic
expression to describe the situation.
17. Student Council is making posters. The materials for each poster cost $4. Write
an algebraic expression for the cost in dollars of p posters.
Define the variable:
Write the Expression:
18. Mrs. First is 2 inches taller than Mrs. Loon. Write an algebraic expression to
represent Mrs. First’s height.
Define the variable:
Write the Expression:
DIRECTIONS: For each situation below, write a numerical
expression to describe the situation.
19. Caroline bought 7 bags of candy corn that cost $0.97.
Write a numerical expression to represent the total
cost.
Hint Box:
What makes a numerical
expression different from an
algebraic expression?
20. Daniel ordered lemonade, mozzarella sticks, and ribs at Texas Roadhouse. His bill
totaled $24.93, which included the tip. Write a numerical expression to represent
the change he will receive if he pays $30.
Different denominators: