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Basic Algebra - Midterm Exam Review
Show all work.
1. Evaluate a² – (b³ – 4c) if a = 7, b= 3 and c = -5
2. Simplify. 5(6x + 4y -3y)
3. Evaluate 32 – 4(|x - 3|) if x = -4.
4. If 6y – 7 = 4, what is the value of 18y – 21?
Date ______________
Simplify. Use distributive property first, and then combine like terms.
5. 3 + 2(4a + 5) + 3a
6. 1/2(6e + 4) + a – 3
7. 4b + 2(3b + 1) + 7
8. 4f – 2f – (8f + 3)
Write an algebraic expression for each verbal expression.
9. Twice y increased by 12.
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10. Four times the product of x and y decreased by 2.
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11. One half x increased by twice the sum of x and y.
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Solve each equation.
12)
60 + x = -100
13)
-5x = 45
14)
-2x = -30
15)
½ x = -42
16)
-¼x = 20
17)
2x – 2 = -10
18)
5x + 15 = -45
19)
18 – 2x = 20
20)
3x – 2 = 5x – 12
21)
2(x + 4) = 2x + 8
22)
24)
26)
1
x- 4 = 1
23)
3x – 2x + 1 = 5x
25)
-4
2x - 8
-4
14 -
1
8
= -20
x =2
Four less than seven times a number is 73. Find the number.
Equation:
Answer: ________________________________________________
27)
A number is divided by 4, and then the quotient is added to 17. Find the number.
Equation:
Answer: ________________________________________________
28) Find the final price for a $400 guitar on sale for 15% off.
29) Find the final price for a $249 IPOD with 7% tax.
30) Find the final price of the book. Original: $15.95 Tax: 6.5%
31) Find the total cost:
Original: $179.99 for a picture frame
Sale: 20% off
Tax: 7%
32) Find the percent of change if your hourly wage increased from $12 to $15.
33) Find the percent of change: Original: $85 for chocolate. New: $74 for chocolate
Solve each proportion. Circle answers.
34)
5
x
=
2
21
35)
2
x +3
=
6
36)
17
2x
7
=
x +1
4
Solve the absolute value equation.
37)
3x - 4 = 12
38)
x - 2 = - 3
Inequalities
Solve each inequality. Graph the solution on the number line.
39)
x+42
40)
41)
-8x < 32
42)
43)
4h – 3 < 21
44)
y – 8 > -4
g
6
> -3
3x + 14  11