Free Printable Spiral Review Chapters 1-3

1.

Simplify: $\frac{2^9}{2^6}$

a)

$1^3$

b)

$0^3$

c)

$2^3$

d)

$2^{15}$

2.

Simplify:

\frac{x^{12}}{x^4}

a)

$x^{16}$

b)

$x^8$

c)

$x^{48}$

d)

$x^3$

3.

Simplify: $6^5\cdot6^2$

a)

$6^7$

b)

$6^3$

c)

$36^7$

d)

$6^{10}$

4.

Rewrite using a positive exponent.
$7^{-10}$

a)

$\frac{1}{7^{10}}$

b)

$7^{10}$

c)

$\frac{1}{7^{-10}}$

d)

$-70$

5.

Simplify $\left(a^3\right)^{-5}$ completely.

****NO NEGATIVE EXPONENTS IN SIMPLIFIED ANSWERS!!!****

a)

$a^{-15}$

b)

$a^{15}$

c)

$\frac{1}{a^{15}}$

d)

$a^{-2}$

e)

$\frac{1}{a^2}$

6.

$n\cdot n^3\cdot n^4$ Using exponents, simplify the following expression:

a)

$n^{12}$

b)

$n^7$

c)

$n^8$

d)

$3n^{12}$

7.

$\left(x^3\right)^2\cdot\left(x^4\right)^2$

a)

$x^{14}$

b)

$x^{11}$

c)

$x^7$

d)

$x^4$

8.

How do you solve:
(2x⁵)(6x⁴)

a)

MULTIPLY coefficients
MULTIPLY exponents

b)

DIVIDE coefficients
SUBTRACT exponents

c)

Combine like terms

d)

MULTIPLY coefficients
ADD exponents

9.

Simplify: $3n^5\cdot5n^{10}$

a)

$15n^5$

b)

$8n^{15}$

c)

$15n^{50}$

d)

$15n^{15}$

10.

$\left(2x^2y\right)^3$

a)

$6x^5y^{\text{4}}$

b)

$8x^6y^3$

c)

$5x^5y^3$

d)

$6x^6y^3$

11.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

12.

a)

a⁸b¹³

b)

a²b⁷

c)

a¹⁵b³⁰

13.

Write 4.3756 x 10⁴in standard form.

(a)

14.

Write 0.0005 in scientific notation.

a)

50 x 10^-5

b)

5 x 10^-4

c)

5 x 10³

d)

.5 x 10³

15.

Write 8.317 x 10⁶in standard form.

(a)

16.

Which of the following numbers is written in scientific notation?

a)

20.35 x 10⁴

b)

.2035 x 10⁴

c)

2035⁴

d)

2.035 x10⁴

17.

Find the slope:

a)

2

b)

-2

c)

$\frac{1}{2}$

d)

$-\frac{1}{2}$

18.

Find the slope

a)

$\frac{4}{5}$

b)

$\frac{5}{4}$

c)

$-\frac{5}{4}$

d)

$-\frac{4}{5}$

19.

What is the slope?

a)

$-\frac{1}{3}$

b)

-3

c)

-4

d)

5

20.

Which statement below accurately represents the graph?

a)

$100 is earned for each hour worked

b)

$100 is earned for every 2 hours worked

c)

$500 is earned for every 8 hours worked

d)

$200 is earned for every 3 hours worked

21.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

22.

Find the slope of the line that passes through

(-2, 8) and (0, 8)

a)

0

b)

-2

c)

2

d)

$\frac{1}{2}$

23.

a)

2

b)

-2

c)

6

d)

-6

24.

a)

$\frac{4}{3}$

b)

$-\frac{4}{3}$

c)

6

d)

-6

25.

What is the y-intercept in the equation y= -2x + 5

a)

-2

b)

3

c)

5

d)

-5

26.

What is the y intercept?
y = 2x - 3

a)

3

b)

-3

c)

1

d)

2

27.

Solve the equation:
3(x - 1) = 2x + 9

a)

x = 12

b)

no solution

c)

x = 10

d)

x = 6

28.

2 + 14a = -8 + 9a

a)

-2

b)

3

c)

5

d)

-10

29.

$-5-3w=7w$

a)

$4$

b)

$2$

c)

$-\frac{1}{2}$

d)

$-2$

30.

$49-3m=4m+14$

a)

infinitely many solutions

b)

$5$

c)

$3$

d)

$1$

31.

$-3\left(c+5\right)=-4c+6$

a)

$21$

b)

$10$

c)

$12$

d)

$17$

32.

Simplify each equation. Tell whether the equation has one, no, or infinite solutions.
$3x-8=3(x-4)+1$

a)

one

b)

no solutions

c)

infinite solutions

33.

Simplify each equation. Tell whether the equation has one, no, or infinite solutions.
$3x-7=3(x-3)+2$

a)

one

b)

no solutions

c)

infinite solutions

34.

Solve:
$2x+1=2x-1$

a)

No Solution

b)

x = 0

c)

Infinitely Many Solutions

35.

Which number is IRRATIONAL?

a)

√8

b)

¾

c)

2

d)

-1.325

36.

$4.\overline{67}$

a)

Rational

b)

Irrational

37.

$\sqrt{49}$

a)

Rational

b)

Irrational

38.

$5.23568...$

a)

Rational

b)

Irrational

39.

$\sqrt{225}$

a)

Rational

b)

Irrational

40.

Simplify.

a)

8/7

b)

7/8

c)

7/9

d)

8/9

41.

Find the cube root.

a)

2

b)

-2

c)

4

d)

24

42.

The √20 is between which two integers?

a)

2 & 3

b)

3 & 4

c)

4 & 5

d)

5 & 6

43.

The is between which two consecutive whole numbers? $\sqrt{40}$

a)

7 & 8

b)

4 & 5

c)

5 & 6

d)

6 & 7

Spiral Review Chapters 1-3

Total questions: 43

Worksheet time: 43mins

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