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Midterm Review
Algebra M-1
Name: _________
Date: _________
Part A: Simplify each expression. Show all work.
1)
-12 – 20
2)
15 – (20)
3)
-8.24 – (-2.19)
4)
(-3)(-x)(x)(x)
5)
4x(5 – 8x)
6)
10x + 2(7 – 3x)
7)
- (15x – 8)
8)
124  (3  1)  3
9)
17 - (-2) + (-10)
10)
 12 x 24
6
2)
3(x – 7) = 3x + 13
Part B: Solve each equation. Show all work.
1)
-20 = -10 + x
3)
3(x – 4) = -12
4)
42x – (34x + 13) = 44
5)
2
y  6
7
6)
2
( x  1)  8
5
7)
-6x + 41 = 29
8)
34 = 3x + 2 – x
9)
Round to nearest tenth
3.4x + 7.8 = -6.2x – 3.7
10)
Solve for y
2x + 3y = 12
Part C: Answer each question carefully. Show all work.
1)
Write the numbers in
2)
increasing order.
1
7
2
 3 , 3.25, -3.5, 3 , 2
3
10
5
3)
5)
Evaluate the expression
28
when x = -7
x
4)
Evaluate the expression
x 16 when x = -18
6)
Evaluate the expression
2
1
 x when x 
5
4
Evaluate the expression
(a + b)3 when a = -2 and b = 6
Find the domain of the
function
7)
2x
x 8
The team won 30 of its 45 games. Find the ratio of wins to losses.
8)
Write an expression for the perimeter of the rectangle shown.
y
3x
5x + 6
9)
What number is 28% of 250?
10)
58 is 50% of what number?
11)
Translate and Solve.
Five less than a number is 25.
What is the number?
12)
Make an input-output
table for the function.
Use -3, -2, 0, 2, 3 for the
domain
y = 2x – 5
Input
13)
The table shows the price of gas
per gallon for a four-month period.
Make a line graph of the data.
Month March April
Price
$3.05 $2.99
14)
Output
May
$2.89
June
$2.85
Show all steps. The selling price of a dress is $63. If the store paid $12 less for
the dress, find the price the store paid.
Part D: Multiple Choice. Write the correct letter in the space provided.
1) _______Simplify the expression
4(x + 9) – 5(6 –2x)
A.
B.
C.
D.
4x + 36 – 30 + 10x
4x + 36 – 30 - 10x
6 – 6x
6 + 16x
A.
B.
C.
D.
3) _____What is the area of the figure?
A.
B.
C.
D.
42.5
4.25
85
8.5
5
17
5) _____The number of students in a
history class is three more than twice the
number of students in a computer class.
If the number of students in the
computer class is c, how many students
are in the history class?
A.
B.
C.
D.
2c
2c – 3
2c + 3
3 – 2c
2) _____You hike at a rate of 6 miles per
hour. Find the distance you travel in 3
hours.
2 miles
3 miles
18 miles
9 miles
4) _____What is the value of (3x)2 + 3
when
x = 2?
A.
B.
C.
D.
39
147
153
225
6) ____A swimming pool club charges
nonmembers $8 per day to use the pool.
Members pay a yearly fee of $200 and
$4 per day to use the pool. Which
equation represents this situation?
A.
B.
C.
D.
8x = (200 + 4)x
8x + 200 = 4x
8x = 200 + 4x
8x = (200 + 4)x