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Algebra 1
Section 1.7
Review for Ch #1 Test
1. Write 1/8 in decimal form.
divide 1 by 8
= .125
4. Find the sum of 5 and 3/2.
5 + 1½
2. Write .75 in fraction form.
= 6½
put 75 over 100
 75
100
3
4
5. What is the difference of 23 and 7?
= 23 – 7
= 16
3. Write 10% in decimal form.
move decimal point to left 2 places
= .1
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Evaluate the given expression.
6. 3 – [(4 ÷ 2) + 1]
= 3 – [2 + 1] divide 4 by 2
= 3 – [3] add 2 + 1
= 3–3
= 0
7. [(4 + 16) ÷ 5] - 2
= [20 ÷ 5] - 2 add 4 + 16
= [4] - 2 divide 20 by 5
= 4–2
= 2
8. Evaluate [224.9 ÷ (4.3 + 16.5)] - 9.3
= [224.9 ÷ 20.8] - 9.3 add 4.3 + 16.5
= [10.8125] - 9.3 divide 224.9 by 20.8
= 10.8125 – 9.3
= 1.5125
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Evaluate the given expression.
9. 2s – 3 , when s = 14
= 2(14) – 3 substitute 14 for s
= 28 – 3 multiply 2 by 14
= 25
10. 2x – 3y + 2, when x = 4 and y = 1
= 2(4) – 3(1) + 2 substitute 4 for x and 1 for y
= 8 – 3 + 2 multiply
= 7
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11. Evaluate 2.6 + (3.9 ÷ x), when x = 1.5
= 2.6 + (3.9 ÷ 1.5) substitute 1.5 for x
= 2.6 + 2.6
= 5.2
12. Write “x raised to the fifth power” as an algebraic expression.
= x5
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Evaluate the given expression.
13. 4 + 21 ÷ 3 – 32
= 4 + 21 ÷ 3 – 9 32 is 9
= 4 + 7 – 9 divide 21 by 3 {order of operations}
= 2
14.
6  22
17  62
 6 4
17 12
22 on top = 4
6(2) on bottom = 12
15. 12 – 2x2, when x = 2
= 12 – 2(2)2 substitute 2 for x
= 12 – 2(4) 22 = 4
= 12 – 8 multiply 2 by 4
= 4
10
5
= 2
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16.
x3y
when x = 15 and y = 2
6
 153(2)
6
substitute 15 for x and 2 for y
 15 6
6
 9
6
 3
2
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Use mental math to solve the equation.
17. 2x – 8 = 0
think: what number, multiplied by 2, minus 8, equals 0
x=4
18. x3 = 64
think: what number multiplied by itself three times equals 64
x=4
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19. Is 7 a solution of the equation x2 – x + 2 = 44?
72 – 7 + 2 = 44 substitute 7 in for x
49 – 7 + 2 = 44
44 = 44
yes, 7 is a solution
20. Determine whether 3 is a solution of the inequality 9x – 3 > 24.
9(3) – 3 > 24 substitute 3 in for x
27 – 3 > 24
24 > 24
no, 3 is not a solution
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Write an algebraic expression, equation, or inequality
for the phrase or sentence.
21. Six more than a number squared
x2 + 6
22. The quotient of a number and two is greater than seven
x÷2>7
23. A number cubed minus another number is sixty
x3 – y = 60
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1.) Write
2
in percent form.
5
3.) Write 25% in fraction form.
2.) Write 0.33 in percent form.
Algebra 1
Section 1.7
Assignment
4.) Find the product of 9 and 9.
5.) What is the quotient of 14 and 4?
Evaluate the given expression.
6.) 3(7) + [9 – (18 ÷ 6)]
7.)
(3)(5)
(8  7)  3
8.) 14.4 + [(6.8 – 1.1) • 4.7]
Evaluate the given expression.
9.) (x + 4) ÷ 9, when x = 23
10.) (3x – 5y)(y + 2), when x = 3 and y = 2
11.) 3.7x – 6.2y, when x = 5.5 and y = 1.9
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Evaluate the given expression.
13.) 9  1  7
42
12.) (12 – 7)2 + 5
14.)
x3
2
x
15.)
 4 , when x = 4 and y = 2
2
y
+ x – 7, when x = 3
Solve the equation.
16.) 4  1
x
2
17.) x  0
8
18.) Is 4 a solution of the equation x2 – x + 2 = 44?
19.) Is 6 a solution of the inequality 13 + 2x ≤ 25?
Write an algebraic expression, equation, or inequality for the verbal phrase.
20.) Half of a number, decreased by nine
21.) Nine plus the product of a number and six is less than or equal to twenty
22.) The difference of a number and two times another number is ten
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