Pre-Algebra 7th Grade
INTEGERS: Evaluate.
1.)
2.)
3.)
4.)
5.)
6.)
Name: _________________________________
UNIT 1 TEST REVIEW
PRACTICE TEST
−25 − 13
12 + (−48)
− 31 – (−14)
(−5)(−17)
65 ÷ (−5)
5 − 19
SQUARE ROOTS: Simplify. If a Square Root is not a Perfect Square, estimate the square root to
the nearest Whole Number.
7.) − √121
16
8.) √81
9.) √70
10.) √145
ORDER OF OPERATIONS: Evaluate.
11.) 23 +
12.)
13.)
12∙2
4
−6
42 + 32 + 2(10 − 5)
40−5
5+2
+ 6(4 − 2)
EXPRESSIONS: Write each verbal expression as an algebraic expression.
14.) x less 13
_________________________________
15.) 11 more than a number
_________________________________
16.) a number divided by −3
_________________________________
17.) x squared
_________________________________
18.) y cubed
_________________________________
19.) 15 times a number
_________________________________
20.) twice p
_________________________________
21.) 4 less than y
_________________________________
COMBINING LIKE TERMS and DISTRIBUTION: Simplify.
22.) 10𝑎 − 3 − 5𝑏 + 2(7𝑎 − 3)
23.)
−2(3𝑎 + 15) + (−7) + 𝑎
24.) 10𝑥 + 11𝑦 − 15𝑥 − 20𝑦 + 2
25.) −5(2𝑥 + 7) + 2(5𝑦 − 4)
26.) −17 + 6𝑥 − 7𝑦
COMMON CORE:
Solve each expression and write the corresponding problem number in the appropriate column
in the chart below.
27.) (15 − 9)2 ÷ (5 + 4) + 5
28.) (9)0
29.) 72 − (3 + 1 ∙ 5) − 42 ÷ 5
30.) (−1)9
Equal to 9
Not equal to 9
Solve each expression and write the corresponding problem number in the appropriate column
in the chart below.
31.) (10 ∙ 𝑡) + (10 ∙ 𝑡)
32.) (10 + 𝑡) + (10 + 6)
33.) 10𝑡 + 6
34.) 2(5𝑡 + 3)
35.) 2(5𝑡 + 3𝑡)
36.)
10𝑡 + 6 + 10𝑡
Equivalent to: 10(t+6)
Equivalent to: 10t + 6
Neither
37.) Real World Application: Three friends decide to clean out their closets to donate old
clothing to those in need. They decide to make three piles: one for shirts, one for pants, and one
for jackets. The chart below represents each person’s clothing donation.
Choose and define variables to represent each clothing category and write an unsimplified
expression to represent the total clothing.
Lastly, simplify the expression by combining like terms.
(Hint: *Quarter/Dime/Nickel/Penny Problem)
Shirts
Friend #1
Friend #2
Friend #3
5
11
7
Define the Variables:
Pants
4
5
1
Jackets
2
4
4
________________________________
_________________________________
_________________________________
Unsimplified Expression: _________________________________________________________________________
Simplified Expression after CLT: _________________________________________
Circle the multiple-choice expression(s) that is/are illustrated by the picture below. (There
may be more than one correct answer. Circle all that are true.)
38.)
+ + + + + +
_ _ _
a.
b.
c.
d.
e.
7−3
−3 + 7
7+3
7 + (−3)
7 – (−3)
+
38.) −3
a. (𝑥 − 5)
b. (𝑥 + 5)
c. (−𝑥 − 5)
d. (−𝑥 + 5)
= −3𝑥 + 15
Pre Algebra
Review Day: WARM-UP
WARM- UP: PART 1
Match with the correct letter
1. the product of 5 and x
2. 5 less than x
3. Five decreased by x squared
4. The quotient of 5 and x
5. The sum of five and x
WARM- UP: PART 2
CLT / Distribute then CLT
6.
7x + 3y - 5x + 4y
7.
-3b + 5c - 9b - 5c
8. 4y + 2(x - 3y) + 8x
9.
- (3a + 11b - c)
10. -2(3x - 5) + 4(x + 1)
a)
b)
c)
d)
e)
x-5
5÷x
x+5
5 - x2
5x