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Algebra 1
Chapter One Test
Write an algebraic expression for each verbal expression.
1) the product of 8 and a number, increased by 12
2) the difference of a number and 6, divided by 4
3) 10 less than the product of 4 and a number squared
4) 25 decreased by twice some number
Evaluate.
5)
 4  2 
3
6) 12  6  2  3
7) 4  12 2  3  2  9
8) 56  [7  4  2  ]
3
Simplify.
9)  5x  3  6x
2
10) 3y  20y  15 
5
11) 22 2  y   3 y  5
12) 3 x  4    x  7 
Evaluate for the given value(s).
3
13)  x  2  10  3 when x  4


14)
22 x  9
when x  3; y = 5
y 2
Solve.
15) x 
9  12  3  1
4  35  2
16) 2 7  63  8  y
Matching: On the answer line write the letter of the property illustrated in each
equation. Not all the properties will be used.
17) 3ab  3ab
A) Distributive Property
18) 5x  5y  5x  y
B) Inverse Property
C) Identity Property
19)
4  x  y  x  4  y
20) 6  y  6  y  0
D) Zero Property
E) Commutative Property
F) Associative Property
G) Substitution Property
21) Identify the hypothesis and conclusion of the following statement.
If it is a hot day then we will go to the beach.
22) Which number is a counterexample for the following statement?
For all numbers x, 2x  5  17.
A) x = 1 B) x = 0 C) x = 5 D) x = 6
Find the square root.
23) 49
24)
 64
20
, 0.5, and  25 from least to greatest.
5
4
26) Order 4.2, 15 , and 4 from least to greatest.
5
25) Order
Graph on a number line.
27) x  8
28) 14  x
29) Plot and label the following points (label them
with their letter) on the coordinate grid below.
Point A (ˉ3,⁻4), Point B (2,ˉ1), Point C (ˉ2,4).
Bonus
30) Write 3x  3x  3x in exponential form.
Ch 1 Version A
Answers
1. 8n + 12
n 6
2.
2
3. 4n2-10
4. 25 – 2n
5. -8
6. 7
7. 11
8. 1
9. x – 15
10. 11y – 6
11. –y + 23
12. 4x – 19
13. -6
3
14. 
7
5
15.
7
16. y = -10
17. Associative Property
18. Distributive Property
19. Commutative
20. Identity
21. Hypothesis – It is a hot day
Conclusion – we will go the beach
22. x = 6
23. 7
24. no solution
20
25.  25,
,.5
5
4
26. 15,4.2, 4
5
27. x  8
-10 -9 -8 -7 -6
28. x < 14
12 13 14 15 16 17
29.
Bonus (3x)3
Ch 1 Version A
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