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EIGHTH GRADE
MATH FINAL REVIEW
2015
Evaluate each expression for the given values of
the variables.
1. 6x + 9 for x = 3 27
2. x + 14 for x = 8 22
3. 4x + 3y for x = 2, y = 3 17
Evaluate each expression for the given values of
the variables.
4. 1.6x – 2.9y for x = 19, y = 6
13
5. If n is the amount of money in a savings
account, then the expression n + 0.03n can be
used to find the amount in the account after it has
earned interest for one year. Find the total in the
account after one year if $500 is the initial amount.
$515
Write an algebraic expression for each word
phrase.
6. 5 less than a number k k – 5
x
7. a number x divided by 11
11
8. 4 times the sum of n and 5 4(n + 5)
Write an algebraic expression to evaluate the
word problem.
9. Karen buys n raffle tickets for $0.50 each. If she
buys 13 of them, how much will they cost?
0.50n; $6.50
Determine which value of x is a solution of the
equation.
10. x + 9 = 17; x = 6, 8, or 26
8
11. x – 3 = 18; x = 15, 18, or 21
21
Solve.
12. a + 4 = 22
a = 18
Solve.
13. n – 6 = 39
n = 45
14. The price of your favorite cereal is now $4.25. In
prior weeks the price was $3.69. Write and solve an
equation to find n, the increase in the price of the
cereal.
3.69 + n = 4.25; $0.56
Determine whether each ordered pair is a
solution of y = 4x  7.
15. (2, 15)
no
16. (4, 9)
yes
17. Use the given values to make a table of
solutions. y = 4x  6 for x = 2, 4, 6, 8, and 10
x
4x – 6
y
(x, y)
2
4(2)  6
2
(2, 2)
4
4(4)  6
10
(4, 10)
6
4(6)  6
18
(6, 18)
8
4(8)  6
26
(8, 26)
10
4(10)  6
34
(10, 34)
18. What is the solution to the system of linear
equations?
ANSWER
(2, 1)
19. Solve the linear system by graphing.
What is the solution to the system of
linear equations?
ANSWER
(–1, –1)
Find the sum or difference.
20.
(3m2 –2m+9) + (m2+2m – 4)
ANSWER
21.
4m2+5
(– 4a2 + 3a – 1) – (a2 + 2a – 6)
ANSWER
–5a2 + a + 5
Evaluate the expression or power.
22.
13g when g = 7
ANSWER
23.
1.65 – a when a = 0.75
ANSWER
24.
91
0.9
54
ANSWER
625
3
25. The domain of the function y = 2 x + 1is 0, 3, 6 and 9.
Make a table for the function. Identify the range of the
function
ANSWER
range: 1, 3, 5, 7
26. Write a rule for the function.
ANSWER
y = 1.5x
27 Graph the function y = x + 2 1
2
domain 2, 4, 6, and 8.
ANSWER
with
28 Write a rule for the function represented by the
graph. Identify the domain and the function.
ANSWER
y = – 1 x + 6;
2
Domain: 0, 2, 4, 6, 8;
Range: 2, 3, 4, 5, 6
Find the slope of the line that passes through the points
29. (12, – 1) and (– 3, – 1)
ANSWER
0
30. (–2, 6) and (4, –3)
ANSWER
– 3
2
31. Evaluate f (x) = 8x – 4 when x = –3, 0, and 2.
ANSWER
–28, –4, 12
32 Find the value of x so g (x) = –2x+ 1 has the value –3.
ANSWER
2
33 Evaluate f (x) = 8x – 4 when x = –3, 0, and 2.
ANSWER
–28, –4, 12
34 Find the value of x so g (x) = –2x+ 1 has the value –3.
ANSWER
2
35 Write an equation of the line with a slope of – 4 and
a y-intercept of 1.
ANSWER
y = – 4x + 1
Write an equation of the line that passes through the
given points.
36 (–9,1), (0, –8)
ANSWER
y = – x –8
37 (–4, –6), (0, 6)
ANSWER
y = 3x + 6
Write an equation of the line that passes through the
given point with given slope.
38
(4, –1), m = –1
ANSWER
39
y=–x+3
(2, 0), m = 4
ANSWER
y = 4x – 8
40.
Tell whether x and y show a positive correlation, a
negative correlation, or relatively no correlation.
ANSWER
negative correlation.