Math 101, Ch. 4, Practice Test 1. Simplify
2. Simplify
(a) (x – 8) + (x + 3)
(a) (x2 + 6x – 5) + (x2 + 3x – 2)
(b) (4x – 8) – (x + 5)
(b) (x2 + 5x – 5) – (x2 +6x – 2)
3. If x = 2, evaluate
x3 – 3x + 7
4. If x = –2, evaluate
5x3 – 3x2
Math 101, Ch. 4 Practice Test 5. Simplify
Page 2 6. Simplify
(a) –10x 4 • 3x 6
(a) (2x 3 y 4 ) 5
(b) –2x 5 y(–5xy 3 )
(b) (–4xy 6 ) 2
7. Simplify
8. Simplify
45x 3 y 5
18x 2 y 5
⎛ 3x 5 ⎞
⎜⎝ 18 ⎟⎠
2
Math 101, Ch. 4 Practice Test 9. Multiply
Page 3 10. Multiply
(a) –6x(x + 5)
(a) 5x(x2 – 6x + 7)
(b) 4x 2 (x – 2)
(b) –3(x2 – 4x + 5)
11. Multiply and simplify
7 + 3(2x – 1)
12. Multiply and simplify
x(x + 6) + 4(x + 5)
Math 101, Ch. 4 Practice Test 13. Multiply and simplify.
(x + 1)(x + 2)
15. Multiply and simplify.
(3x + 4)(5x – 6)
Page 4 14. Multiply and simplify.
(x – 8)(x + 9)
16. Multiply and simplify.
(2x + 1)(3x2 – 4x + 6)
Math 101, Ch. 4 Practice Test 17. Divide.
Page 5 18. Divide.
(x3 + 2x – 3) ÷ (x + 3)
x + 5 x 2 + 6x + 5
19. Write in scientific notation
x+3
20. Write in standard form
(a) 0.0732
(a) 9.54 × 105
(b) 8,450,000,000
(b) 1.57 × 10– 6
Math 101, Ch. 4 Practice Test 21. Simplify.
Page 6 22. Simplify. Write your answer using
positive exponents only.
(a) –a0 – b0
(a) 5x 6 • 4y – 2
(b) 20 – 2
(b) 20x – 8 y 5 • x 2
23. Simplify. Write your answer using
positive exponents only.
(a)
x8
x −5
(b)
3x −2 x 4
x −9 x 0
24. Simplify. Write your answer using
positive exponents only.
⎛ x9 ⎞
(a) ⎜ ⎟
⎝ 9⎠
(b)
−2
( 3x )
−7 −3
Math 101, Ch. 4 Practice Test 25. Find the area of the shaded region.
Area (large) = 8x2 + 4x – 2
Area (small)
= x2 – 8
Page 7