CHAPTER R NAME_____________________________
TEST FORM A CLASS_____SCORE_____GRADE_____
______________________________________________________________________________
3 1 ANSWERS
1. Consider the numbers: − 5, , 13 , 0.6, 0, 3 16 , 3 , − 2.9 .
4 4
a) Which are integers? 1. a)
b) Which are rational numbers but not whole numbers?
b)
Simplify.
2.
3
2. 3. − 5 xy
8
3.
4. a) Write interval notation for {x − 3 < x ≤ 2};
b) Graph the interval from part a. 4. a)
b) See graph.
5. Find the distance between − 2 and 3 on the number line. 5.
6. Calculate: 33 − 2 ⋅ 3 ÷ 3 . 6.
7. Convert to scientific notation: 0.00073 . 7.
8. Compute and write scientific notation for the answer: 8.
(4.2 × 10 −2 )(3.5 × 108 ) .
1
,CHAPTER R NAME_____________________________
TEST FORM A
______________________________________________________________________________
ANSWERS Simplify.
10. (3x 2 ) (2 y )
3
x −6 ⋅ x 4
2
9. 9.
10.
11. (− 4a b )(2a b )
2 −5 3 4
11.
12. (2 x 4
) (
− 3x 3 + 5 x − 7 x 4 − 4 x 2 − x )
12.
13. (x + 1)(2 x − 5) 14. (5n − 3)2
13.
14. a2 − b2
15. ab 16. 72
a 2 + 2ab + b 2
15.
16.
2
,CHAPTER R NAME_____________________________
TEST FORM A
______________________________________________________________________________
Simplify. ANSWERS
17. 4
32 18. 4 12 + 2 75 17.
18.
19. 8 50 ( )(
20. 3 + 5 7 − 2 5 )
19.
20.
Factor.
21. 3 y 2 − 14 y − 24 22. k 3 − 27
21.
22.
23. 8m − 32
2
24. x + 4 x − 12 x
3 2
23.
24.
3
, CHAPTER R NAME_____________________________
TEST FORM A
______________________________________________________________________________
ANSWERS x 2 − 2 x − 15 x 2 − 4 x − 21
25. Multiply and simplify: ⋅
x2 + x − 6 x 2 − 25
25.
x 2
26. Subtract and simplify: − 2 .
26. x + 5 x + 6 x + 3x + 2
2
2
27. Rationalize the denominator: .
27. 3+ 7
28. Convert to radical notation: x .
28.
29. An airplane is 25,000 ft horizontally from the airport. Its altitude
is 10,000 ft. Find its slanted distance to the airport. Round to the
29. nearest foot.
_________________________________________________________
30.
30. Multiply: (x a + y b )(x a − y b ) .
4
TEST FORM A CLASS_____SCORE_____GRADE_____
______________________________________________________________________________
3 1 ANSWERS
1. Consider the numbers: − 5, , 13 , 0.6, 0, 3 16 , 3 , − 2.9 .
4 4
a) Which are integers? 1. a)
b) Which are rational numbers but not whole numbers?
b)
Simplify.
2.
3
2. 3. − 5 xy
8
3.
4. a) Write interval notation for {x − 3 < x ≤ 2};
b) Graph the interval from part a. 4. a)
b) See graph.
5. Find the distance between − 2 and 3 on the number line. 5.
6. Calculate: 33 − 2 ⋅ 3 ÷ 3 . 6.
7. Convert to scientific notation: 0.00073 . 7.
8. Compute and write scientific notation for the answer: 8.
(4.2 × 10 −2 )(3.5 × 108 ) .
1
,CHAPTER R NAME_____________________________
TEST FORM A
______________________________________________________________________________
ANSWERS Simplify.
10. (3x 2 ) (2 y )
3
x −6 ⋅ x 4
2
9. 9.
10.
11. (− 4a b )(2a b )
2 −5 3 4
11.
12. (2 x 4
) (
− 3x 3 + 5 x − 7 x 4 − 4 x 2 − x )
12.
13. (x + 1)(2 x − 5) 14. (5n − 3)2
13.
14. a2 − b2
15. ab 16. 72
a 2 + 2ab + b 2
15.
16.
2
,CHAPTER R NAME_____________________________
TEST FORM A
______________________________________________________________________________
Simplify. ANSWERS
17. 4
32 18. 4 12 + 2 75 17.
18.
19. 8 50 ( )(
20. 3 + 5 7 − 2 5 )
19.
20.
Factor.
21. 3 y 2 − 14 y − 24 22. k 3 − 27
21.
22.
23. 8m − 32
2
24. x + 4 x − 12 x
3 2
23.
24.
3
, CHAPTER R NAME_____________________________
TEST FORM A
______________________________________________________________________________
ANSWERS x 2 − 2 x − 15 x 2 − 4 x − 21
25. Multiply and simplify: ⋅
x2 + x − 6 x 2 − 25
25.
x 2
26. Subtract and simplify: − 2 .
26. x + 5 x + 6 x + 3x + 2
2
2
27. Rationalize the denominator: .
27. 3+ 7
28. Convert to radical notation: x .
28.
29. An airplane is 25,000 ft horizontally from the airport. Its altitude
is 10,000 ft. Find its slanted distance to the airport. Round to the
29. nearest foot.
_________________________________________________________
30.
30. Multiply: (x a + y b )(x a − y b ) .
4
