Free Printable Part A Review & Past Units

1.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

2.

According to exponent rules, when we multiply powers we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

3.

According to exponent rules, when we raise a power to a power we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

4.

(2⁸)²

a)

2¹⁶

b)

2¹⁰

c)

2⁶

d)

2⁴

5.

8⁷ ⁄ 8²

a)

8⁵

b)

8⁹

c)

8¹⁴

d)

1⁵

6.

(5³x²y⁴)⁰

a)

5xy

b)

1

c)

0

d)

5

7.

n²⋅n⁴⋅n⁵

a)

n¹¹

b)

n⁴⁰

c)

n¹³

d)

n²²

8.

What is 10⁰equivalent to?

a)

1

b)

10

c)

0

d)

100

9.

Simplify the following:
(x³)⁶

a)

x⁹

b)

x¹⁸

c)

x⁶

d)

x³

10.

Simplify the following:
x²x³

a)

x³

b)

x²

c)

x⁶

d)

X⁵

11.

Simplify:
(9n⁴)(6n⁷)

a)

54n¹¹

b)

15n¹¹

c)

15n²⁸

d)

54n²⁸

12.

Simplify:
6x⁵y² /2x⁴y²

a)

3xy

b)

4x

c)

3x

d)

4xy

13.

Classify by number of terms:
3x³ – 6x

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

14.

Multiply 7x²y³ (2x⁴y⁵+6xy³)

a)

14x⁸y¹⁵+42x²y⁹

b)

9x⁶y⁸+13x³y⁶

c)

14x⁶y⁸+42x³y⁶

d)

14x⁶y⁸+42x²y⁶

15.

Find the difference.
(3- 2x + 2x²) - (4x -5 +3x²)

a)

x_² + 6x + 8

b)

2x²+ 5x - 7

c)

-x²-6x + 8

d)

-2x² + 11x - 4

16.

Find the sum.
(3y² + y³ - 5) + (4y² -4y + 2y³ + 8)

a)

3y³+ 7y²- 4y + 3

b)

4y² + 3y³ - y + 3

c)

-3y⁴ + 2y³-y - 4

d)

4y³+ 3y²-3y + 1

17.

What is the degree of the following polynomial?
x³+ y²x²+ x⁷y⁷+ x⁸

a)

14

b)

8

c)

4

d)

3

18.

Simplify the following expression
(r² + s²) – (5r² + 4s²)

a)

–4r² +5s²

b)

–4r² – 3s²

c)

–5r⁴ – 4s⁴

d)

–4r² + 3s²

19.

Add the polynomials. (3x³ + 3x² – 4x + 5) + (x³ – 2x² + x – 4)

(combine like terms)

a)

4x³ + 1x² – 3x + 1

b)

2x³ + 1x² - 5x + 9

c)

6x³ + 1x - 1x² - 3

d)

3x⁵ +1x - 1x⁵ - 3x

20.

Simplify by combining like terms:
5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

21.

Simplify the following expression:
-8 (5b + 2) -7 (b - 5)

a)

-33b + 19

b)

-47b² + 21

c)

-47b -19

d)

-47b +19

22.

Simplify each expression.
(6b³ + 6 - b⁴) - (8b³ - 6b⁴ + 2)

a)

4b⁴ - 2b³ + 7

b)

5b⁴ - 2b³ + 4

c)

b⁴ - 2b³ + 7

d)

5b⁴ - 2b³ + 7

23.

What is the degree of the polynomial:
7x³ – 8x² + 9

a)

5

b)

2

c)

6

d)

3

24.

A = 2x² + 3x + 5
C = 3x² - 7x + 12
If A + B = C,
what must B equal?

a)

x² - 10x + 7

b)

5x² - 4x + 17

c)

x² - 4x + 7

d)

5x² - 10x + 17

25.

4k²(6k² + 9kq - 5q²)

a)

24k² + 36k³q - 20k²q²

b)

24k⁴ + 36kq - 20k²q²

c)

24k⁴ + 36k³q - 20k²q²

d)

24k + 36 kq - 20 k²q

26.

^{The perimeter of the
triangle is 10x+20. Find the length of the missing side}

a)

6x+10

b)

15x+30

c)

5x+10

d)

5x-10

27.

What is the sum of 1.70+4.65?

a)

2.95

b)

5.35

c)

6.35

d)

a decimal

28.

What is the simplified value of the expression below?

-2.6 + 5.8

a)

-8.4

b)

-3.2

c)

3.2

d)

8.4

29.

7.9 - 3.47=

a)

11.37

b)

4.43

c)

3.32

d)

4.37

30.

-0.03 - (-0.18) =

a)

-0.21

b)

-0.15

c)

0.21

d)

0.15

31.

What is the simplified value of the expression below?

-8 * (-3)

a)

-24

b)

-11

c)

11

d)

24

32.

What is the quotient of 9.18 divided by –3.4?

a)

-2.7

b)

-0.27

c)

0.27

d)

2.7

33.

What is the simplified value of the expression below?

12.4 x (-6.3)

a)

-78.12

b)

-1.97

c)

1.97

d)

78.12

34.

a)

-6/12

b)

-5/12

c)

5/12

d)

-5/7

35.

$-8-\left(-5\right)$

(a)

36.

$-16\ +\ \left(-12\right)$

(a)

37.

$8.5\ -\left(-3.2\right)$

(a)

38.

$-\frac{3}{4\ }+\ 3\ \frac{1}{2}$

a)

$-3\ \frac{1}{4}$

b)

$3\ \frac{1}{4}$

c)

$-2\ \frac{3}{4}$

d)

$2\ \frac{3}{4}$

39.

$-\frac{3}{5\ }+\left(-\frac{2}{3}\right)$

a)

$1\ \frac{4}{15}$

b)

$-1\ \frac{4}{15}$

c)

$-\frac{1}{15}$

d)

$\frac{1}{15}$

40.

$-7.5\ \times\ 4.3$

a)

-35.75

b)

35.75

c)

32.25

d)

-32.25

41.

$-\frac{2}{5\ }\times\left(-\frac{3}{8}\right)$

a)

$\frac{8}{40}$

b)

$-\frac{8}{40}$

c)

$-\frac{3}{20}$

d)

$\frac{3}{20}$

42.

What is the value of the expression:

5.4 − (−8.35)?

a)

-13.75

b)

-2.95

c)

2.95

d)

13.75

43.

-5.7 + 0.9

a)

2.1

b)

-4.8

c)

-8.3

d)

-10.7

44.

Solve the following:
-2 x (3 + 8 ÷ 4)²

a)

-16

b)

1.375

c)

4

d)

-50

45.

Solve the following:
-8 + (15-3) ÷ 4

a)

-5

b)

1

c)

-11

d)

11

46.

8+5∙4+(7-3)

a)

32

b)

23

c)

25

d)

12

47.

75 ÷ 5 × 9 – 9

a)

126

b)

226

c)

711

d)

300

48.

Simplify:
[25-(13+4)+4] ÷ 3

a)

6

b)

2

c)

3

d)

4

49.

2 + (9²- 4)

a)

16

b)

77

c)

79

50.

7(3²)=

a)

63

b)

62

c)

50

d)

27

Part A Review & Past Units

Total questions: 50

Worksheet time: 3hrs 30mins

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