Name: __________________________________ Class: __________________ ... Algebra 1 – Individual Review Final Exam – Chapters 1-7

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Name: __________________________________ Class: __________________ Date: ________
Algebra 1 – Individual Review Final Exam – Chapters 1-7
Multiple Choice
Identify the choice that best completes the statement or answers the question.
Define a variable and write an expression for the phrase.
1. A number plus 12
a.
b.
2. Evaluate
c.
d.
for
a. -2.3
3. Evaluate
for
b. -4.7
d. 2.3
.
a. 25
4. Evaluate
c. 4.7
for
b. 13
c. 5
d. 1
.
a. 3
b. 27
c.
d.
Solve the Equation
5.
6.
a. 80
b. 5
c.
a.
b. 8
c.
a. 23
b. 18
d. 56
d. 15
7.
8. The pair of figures is similar.
Find x. Round your answer to
one decimal if necessary.
7
c
m
x
Drawing
not to
2
c
m
c. 33
4
c
m
d. -18
a. 4.1ft
b. 3.5ft
c. 11ft
d. 2.7ft
9. Simplify
a.
b.
d.
c.
Find the length of the missing side. If necessary, round to one decimals place.
10.
9
x
6
a. 221
b. 3
c. 6.7
d. 14.9
Which number is a solution of the inequality?
11.
a.
b.
c.
d. 14
Graph the inequality.
12.
a.
b.
c.
d.
Solve the inequality. Then graph your solution
13.
a.
b.
c.
d.
14. Evaluate
a.
b.
c.
d. 2
Find the slope of the line that passes through the pair of points.
15.
a.
b.
c.
d.
Find the x-intercepts and y-intercepts of the line.
16.
b. x-intercept is 4; y-intercept is -12
a. x-intercept is 2; y-intercept is -6
c. x-intercept is
- 6;
y-intercept is 2
d. x-intercept is - 12; y-intercept is 4
Write an equation in standard form to relate the number of hours you could work at each job
x= $ mowing paper , and y= $ delivering newspapers
17.) This summer you have decided to mow lawns and deliver newspapers to earn money for the iPod touch that
cost $300. You are going to mow lawns for $8 an hour and deliver newspapers for $5 an hour.
a.
b.
c.
d.
18) Is (2, 20) a solution this system of equations?
y  4 x  12
y  2 x  24
a) yes
b) no
19) What is the solution to the system of equations?
a) (0, 3)
b) (3, 0)
c) (3,3)
d) (1, 3
20) Which set of equations will result in parallel lines when graphed?
a)
y   21 x  3
y   x7
1
2
b)
d)
y  2 x  3
y  12 x  6
a) (0.625, 15.75)
b) (
 5 19
, )
12 2
c) (0.375, 14.25
d) (-4.5, -6)
y  2x  3
y  2 x  7
c)
y  2x  3
y  12 x  7
21) Solve the system of equations by substitution.
y  4 x  12
 6 x  5 y  3
22) Solve.
3x + 12 = 9x + 18
a) x = -1
b) x = -.5
c) x = 5
23) Solve.
2(x + 4) = -6x + 24
a) x = 2.5
b) x = 4
c) x = -2
d) x = 2
24) Solve.
5x + 7 > 3x - 11
a) x > -2
b) x > 2
c) x > -9
d) x > 9
25) Solve.
-3(x – 12) > 21
a) x < -11
b) x < 5
c) x < -19
d) x = 1
d) x > 5
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