Algebra 1 Semester 1 Final Review
Name_________________________
Date_______________Per._______
Unit 1
For # 1 – 9: Evaluate. (NO CALCULATOR)
1) x  y  5 when x  20, y  4
2) 4 x 2  5 x  1 when x  1
4) 18 ÷ 3 · 2 + 4
7)
1 5

4 6
3) 2 x 2  3 y when x  3 and y  4
5) 5  2(10  5) 2  10
6) (4  2) 2  9  2
8) 1  8
9) 1  7
10
4
8
For problems # 10 – 11 NO CALCULATOR.
10) Order from least to greatest.
6,  3.2, 0, 1.8,  4
11) What two integers is 60 between?
Simplify the following problems. CALCULATORS ALLOWED FOR REMAINDER OF REVIEW!
12) 2x + 5(3x + 1)
13) 5x – 3(x – y)
Translate into an algebraic expression, equation, or inequality.
15) 10 more than a number m.
16) The difference of half a number x
and 8 is 30.
14) 15 7  20 7
17) The quotient of twice a number x
and 3 is at most 24.
Unit 2
Solve
18) 4x  2  x 16
20) 2(4 x  6)  6 x  40
19) 3 x  4  8
5
21) – 2(5x + 4) = 28 – 2 x – 4
22) 3x  14  4 x  7( x  2)
Solve and graph
23)  3a  7  2
26) 8 – h > 9 and 2h + 3 > 13
24) 12 + 5x > 7x – 12
25) –5  2x – 1  3
27) 2x – 5 >11 or 6x + 3 < 9
Unit 3
Solve the proportion.
28) 4  12
5
x
29) x  12
16
4
30) x  4  4
x 1 3
31) x  7  x  3
6
7
Solve.
32) What number is 60% of 80?
33) 21 is 35% of what number?
34) 45 is 40% of what number?
35) 84 is what percent of 96?
36) A recipe for chili for 15 people calls for 4 pounds of
ground beef, 10 tomatoes and various spices. How many
pounds of ground beef are needed to make enough chili for
70 people?
37) A conference had 1,280 people attend, 560 of them
were business owners. What percentage of the people
attending the conference were business owners?
38) You can rent a truck for $50 plus a $20 per hour fee.
Your bill came to $170. How many hours did you rent the
truck?
39) On winter break, you drive 225 miles in 4.5 hours. At
this same rate, how long will it take you to reach your
destination if it is 350 miles away?
Unit 4
40) Plot the points.
41) Find the slope
of the line.
A (-3, 4)
B (2, 0)
C (-1, -4)
42) Determine the slope of the line
passing through the following pair of
points (9, –4) and (3, – 7).
43) Determine the slope and y –
intercept of the following graph.
45) Graph y = 2x – 3
46) Graph 4x – 3y = 12
47) Graph y = –4
48) Graph y < 3x – 2
49) Graph x  3
50) Graph 4 x  2 y  8
10x + 2y = 20
44) What is the x-intercept of the
following graph .
2x – 6y = –12
Unit 5
Write the equation or inequality.
51)
52)
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53)
54)
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55) Write the equation of the line passing through (–4, 2) and (– 7, 8).
point-slope form
slope-intercept form
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56) Use the given information to fill in the other two representations of each line.
Equation
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x
y
-2
-4
0
-1
2
2
4
5
standard form
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Unit 6
57) Write in standard form.
58) Classify the polynomial by degree and number of
terms.
6x  4x 4  2x 2  x3
4x2  5x + 1
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Perform the indicated operations.
59) (3x 4  5 x 2 )  (4 x 4  8 x 2 )
60)
terms________________ degree________________
 6x
2
 
 5x  3  4 x2  6 x  8

61) 4 x  2 x  4 
62) (2 x  3)(3 x  1)
63)
Factor.
65) 16 x 4  12 x 3
66) x 2  3x  10
67) 9 x 2  1
68) 3 x 2  5 x  2
69) x 2  16
70) 12 x 4  8 x 2  4 x
 2 x  3
2
64) ( x  7)(3x 2  5 x  2)