Download Chapter Test

Chapter Test
Integrated Algebra
Rational Numbers
Bubble in the button next to the response that best answers the question.
1. True or False. The difference between two negative numbers is always positive.
true
false
2. On Tuesday, the closing price of an ABC company share was $38.50. It had raised
$4.08 from the previous day. Find the closing price of an ABC stock on Monday.
–$34.42
$34.42
–$42.58
$42.58
3. Simplify –6.4 + (–1.2).
–7.6
–5.2
7.6
5.2
4. Evaluate 2x – y for x = 13 and y = 40.
–27
–14
5. Simplify –39 ÷ 3.
–54
|–14|
–36
6. Evaluate –|b – 9| for b = 4.
7. Simplify –6 • (– ).
–13
36
5
–3
13
–5
14
–14
3
–5
5
8. Write an expression for the phrase.
The product of 12 and the quantity of 4 minus t.
12 • 4 – t
12 • (4t)
12(4 – t)
4 – 12t
9. Simplify 5x2 – 10x2.
–5x
–5
–5x2
5x2
10. Simplify –24.
–8
8
–16
16
1
11. Give the reasons for each step shown below.
3x + 4(3 – 2x) = 3x + 12 – 8x
= 3x + 12 + (–8x)
= 3x + (–8x) + 12
= (3 + (–8))x + 12
= –5x + 12
distributive property; commutative property of subtraction; commutative property of
addition; distributive property; additive inverse property
distributive property; definition of subtraction; commutative property of addition;
distributive property; addition
identity property of multiplication; definition of subtraction; commutative property of
addition; distributive property; addition
distributive property; definition of subtraction; associative property of addition;
distributive property; addition
12. Simplify |–8| + (–6) + 14.
13. Simplify –39 ÷ 3.
28
–36
0
16
12
36
–13
13
14. Suppose you choose a marble from a bag containing 7 green marbles, 5 red marbles, and
6 blue marbles. You replace the first marble in the bag and then choose again. Find the
probability P(blue, and then red).
15. Write a subtraction expression modeled by the number line shown. Then find the
difference.
3 – 7 = –4
–4 – 7 = 3
3–7=4
–4 – 7 = 3
2
16. Simplify –x – 13x.
–14x
–13x
12x
13x
17. Evaluate (x – 14) ÷ y + z for x = –10, y = –2, and z = –12.
–24
0
24
12
18. Simplify 6(b – 5).
6b – 30
6b – 5
30b
–30b
19. A number cube is rolled 240 times. Six comes up 41 times. What is the theoretical
probability of rolling a six?
20. Evaluate
–
for x =
–
and y = – .
–
3