Algebra 1
Chapter 1 Test Review
Evaluate the expression for the given value of the variable.
24
1. 7  x when x = 2
2.
when y = 6
y
Name________________________
Assignment___________________
3.
6 a when a = 4
1.__________
2.__________
3.__________
4.
3x 2 when x = 7
5.
a  b 3 when a = 6 and b = 2
4.__________
5.__________
Evaluate the following expressions when x = 3 and y = 5.
6. ( y  x) 3
7. 2 x 2  y
8.
7 y  252  x
6.__________
7.__________
8.__________
Write the following expression in exponential form.
9. w to the third power
10. 6  6  a  a  a
11. 4  3 x  3 x
9.__________
10._________
11._________
Rewrite the following without using exponents.
12. 3x 4
13. a 2 b 3
14.
4y 3
12._________
13._________
14._________
Use the Order of Operations to evaluate the following expressions.
15. 12  6  1
16. 10  5  3  2
17. 4  20  10  7
15._________
16._________
17._________
18. 3  2 2  1
19. 42  32  18
20. [(7  5) 5  8]  4
18._________
19._________
20._________
21. 2[(9  8) 2  (12  5) 2 ]
22.
12  3 2  1
16  8  2
21._________
22._________
Check whether the given number is a solution of the equation or inequality. Write “Yes” or “No”
23. 2 x  3  17 ; 7
24. x  5  7 ; 12
25. x 2  7  10 ; 2
23._________
24._________
25._________
26. 6( x  1)  8x  7 ; 2
27. 5a  3  3  2a ; 2
28. 3 
x
0; 2
2
26._________
27._________
28._________
Rewrite the verbal phrases and sentences as expressions, equations, or inequalities. Circle your
answer.
29. Five times a given number
30. Six less a number
31. Six less than a number
32. Fourteen is less than seven
times a given number
33. Three less than the product
of six and a number a is nine
34. The sum of a number and five,
divided by two
35. The quotient of a number t
and three is nine
36. Six less than a number z is
less than 21
37. Two less than a number,
divided by three
Write an equation that correctly models the situation. Then solve using mental math.
38. You are 65 inches tall. You are 18 inches taller than your younger sister. How tall is your sister?
38._____________________
39. Your teacher gave you 14 days to read a 252-page book. How many pages a night will you have to read?
Let p be the number of pages read.
39._____________________
40. The chess club is holding a car wash to raise funds for a tournament. If the club wants to raise $600, how
many cars will they have to wash if they charge $3 for each car? Let c be the number of cars washed.
40._____________________
41. A movie theater charges $6 admission. The total sales on a given day were $420. How many
admission tickets were sold that day?
41._____________________
Use the Chapter 1 Formulas to help solve the following application problems.
42. An airplane travels at a rate of 6
43. A car travels at 96 kilometers
miles per minute for 12 minutes.
per hour for 3 hours. How far
How far does the plane travel?
does the car travel?
42._________
43._________
44. Find the perimeter of the triangle
below if x = 4.
2x
45. Find the area of a triangle with
a height of 7 inches and a base
of 12 inches.
44._________
x
3x
46. Find the volume of a cubic package with
a base of 4 feet.
45._________
47. Find the area of a rectangular pig
pen with a length of 23 feet and a
width of 10 feet.
46._________
47._________
48. In a game of football you get six points for a touchdown, two points for a safety, and three points for a
field goal. Ohio State scores two touchdowns, no safeties, and one field goal. Michigan scores twice as
many touchdowns, one safety, and no field goals.
a. How many points does Ohio State score?
48a.________
b.
How many points does Michigan score?
48b.________
c.
Who wins the football game?
48c.________
Use the bar graph, which shows the type of transportation students used to go to school at Adams
High School in a recent year.
49. Which class has the most students driving to school?
50. Which classes have the same number of students walking to school?
51. What is the most common form of transportation among 10th graders?
The table gives the fall enrollment of students (in millions) in grades K-8 for public and private schools.
52. How many students were enrolled in public schools in
1985?
53. What year had the fewest total students enrolled?
54. Construct a bar graph for the combined enrollment for public and private schools.
Use the line graph, which gives the life expectancy
in the United States for a child (at birth).
55. In which decade did life expectancy increase the least?
56. In which decade did life expectance increase the most?
ANSWERS
1.
5
2.
4
3.
24
4.
147
5.
14
6.
8
7.
13
8.
103
9.
w3
10. 62a3
11. 4(3x)2
12. 3．x．x．x．x
13. a．a．b．b．b
14. 4y．4y．4y
15. 7
16. 8
17. 9
18. 13
19. 82
20. 0
21. 100
22. 1/5
23. 17 = 17; Yes
24. 7 ≤ 7; Yes
25. 11 ≠ 10; No
26. 18 ≥ 9; Yes
27. 7 = 7; Yes
28. 2 > 0; Yes
29. 5x
30. 6 – x
31. x – 6
32. 14 < 7x
33. 6a – 3 = 9
34.
36. z – 6 < 21
37.
39.
x2
3
252
 14 ; 18 pages
p
x5
2
35.
t
9
3
38. x + 18 = 65; 47 inches
40. 3c = 600; c = 200 cars
42. 72 miles
43. 288 km
44. 24 units
45. 42 in2
46. 64 ft3
47. 230 ft2
49. 12th Grade
50. 10th and 11th Grade
51. Bus
52. 27 million
53. 1985 with 31.2 million
54.
55. 1960-1970
56. 1940-1950
41. 6t = 420; 70 tickets
48a. 15 points, b) 26 points, c) Michigan