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Name __________________________
unit 0 Quiz
Name the property of real numbers illustrated by the equation.
1.
a.
b.
c.
d.
Associative Property of Multiplication
Commutative Property of Addition
Distributive Property
Associative Property of Addition
a.
b.
c.
d.
Distributive Property
Associative Property of Multiplication
Commutative Property of Multiplication
Associative Property of Addition
2.
3. Simplify
.
Evaluate the expression for the given value of the variable(s).
4.
;
b=3
5. The expression
models the height of an object t seconds after it has been dropped from a height
of 1700 feet. Find the height of an object after falling for 2.7 seconds.
Simplify by combining like terms.
6.
Solve the equation.
7.
8.
9.
Solve for x. State any restrictions on the variables.
10.
Solve the equation or formula for the indicated variable.
11.
,
for t
12. The formula for the time a traffic light remains yellow is
, where t is the time in seconds and s is
the speed limit in miles per hour.
a. Solve the equation for s.
b. What is the speed limit at a traffic light that remains yellow for 3 seconds?
13. A rectangle is 6 times as long as it is wide. The perimeter is 90 cm. Find the dimensions of the rectangle.
Round to the nearest tenth if necessary.
14. Air temperature drops approximately 5.5ºF for each 1,000-foot rise in altitude above Earth’s surface (up to
30,000 ft).
a. Write a formula that relates temperature t in degrees Fahrenheit at altitude h (in
thousands of feet) and a ground temperature of 60ºF. State any restrictions on h.
b. Find the temperature at 14,000 ft above Earth’s surface.
Solve the inequality. Graph the solution set.
15. –3 + 4k  13
16. –4k – 2  –26
17. 2(2m + 3) – 9  –7
18. 21 + 12b  4(3b + 2)
Solve the problem by writing an inequality.
19. If the perimeter of a rectangular picture frame must be less than 220 in., and the width is 30 in., what must the
height h of the frame be?
Solve the compound inequality. Graph the solution set.
20. 9x + 4  31 and 2x – 4  6
21. 4x – 7 < –23 or 8x + 10 > 26
22.
23. The perimeter of a square garden is to be at least 30 feet but not more than 60 feet. Find all possible values for
the length of its sides.
Solve the absolute value equation
24.
25.
Solve the equation. Check for extraneous solutions.
26.
Solve the inequality. Graph the solution.
27.
28.