Download PED-HSM11A2TR-08-1103-001

Name
Class
Date
Chapter 1 Test Review
Form G
Do you know HOW?
Identify a pattern and find the next three numbers in the pattern.
1. –4, –1, 2, 5, . . .
2. 3, 21, 147, 1029, . . .
3. Justify each step by naming the property used.
a.
1

1

4  3    4   3

4

4
b.
 1
  4    3
 4
c.
 1 3
d.
 3
Evaluate the expression for the given value of the variable.
4. –a2+ 4a – 17; a = 5
5.
6(s  2)  4(s  1)
;s  3
3s  1
6. The expression 19.95 + 0.02x models the daily cost in dollars of renting a car. In
the expression, x represents the number of miles the car is driven. What is the
cost of renting a car for a day when the car is driven 50 miles?
Solve each equation.
7. 3r + 3.7 = 5r – 2.5
8. 3(5t + 2) = 36
Solve each equation for x. State any restrictions on the variables.
9. tx – ux = 3t
10.
x3
3 a
6
Solve each formula for the indicated variable.
11. R 


1
r  r , for r2
2 1 2
12. P = 2ℓ + 2w, for ℓ
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Name
Class
Date
Chapter 1 Test Review (continued)
Form G
Write an equation and solve the problem.
13. Two buses leave Dallas at the same time and travel in opposite directions. One bus
averages 58 mi/h, and the other bus averages 52 mi/h. When will they be 363 mi
apart?
Solve each inequality. Graph the solution.

3 
15. 4a  3(a  1)   7  a
2 

14. 3m + 7 ≥ 4
Solve each compound inequality. Graph the solutions.
16. 3x – 1  5 or 2x – 4  x
17. –3t  12 and –2t > –6
Solve each equation. Check for extraneous solutions.
18. |2x + 3| = 5
19. |x + 6| = 2x
20. The temperature T of a refrigerator is at least 35°F and at most 41°F. Write a compound
inequality and an absolute value inequality for the temperature of the refrigerator.
Do you UNDERSTAND?
21. Open-Ended There is no Closure Property of Division that applies to integers. For
example, 2 ÷ 3 is not an integer. What is another example of a set of real numbers that
does not have a Closure Property for one of the basic operations? Give a specific
example to illustrate your claim.
22. Reasoning Explain in words why |x| < 0 has no solution.
23. Writing Explain the difference between the solution(s) to an equation and the
solutions to an inequality.
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64