Pre-Algebra SOL Review (Virginia)

Exponents/Square Roots

100

Solve all 3 problems:

4²         7³         9⁵           

4² = 16

7³ = 343

9⁵ = 59,049

200

Solve all 3 problems:

- Square Root of 81

- Square Root of 625

- Square Root of 289

Square Root of 81 = 9

Square Root of 625 = 25

Square Root of 289 = 17

300

Provide the exponent needed:

Squared (means what # exponent):

Cubed (means what # exponent):

Squared: Exponent of 2

Cubed: Exponent of 3

400

Between which two consecutive whole numbers is 

Square Root of 129 located?

11 & 12

500

Put these square roots in order from greatest to least:

Square Root of 60

Square Root of 2

Square Root of 345

Square Root of 5

Square Root of 112

Square Root of 345 = 18.57

Square Root of 112 = 10.58

Square Root of 60 = 7.746

Square Root of 5 = 2.236

Square Root of 2 = 1.414

18.57, 10.58, 7.746, 2.236, 1.414

Scientific Notation

100

Solve into standard form:

3.2 x 10¹ = 

32

*jump decimal to the right 1 time*

*making number larger with a positive exponent*

200

Solve into standard form:

4.63 x 10^-3

0.00463

*3 jumps to the left*

*make number smaller with negative exponent*

300

Provide me an example of both a standard form answer and a scientific notation form answer.

Standard form: 

- 0.9876

-3,900,876

Scientific notation:

- 3.5 x 10³

- 8.765 x 10^-5

400

What is the range our front # can fall in between for scientific notation?

Ex ____ x 10³

*What range can the number I am multiplying by fall in between?*

1.00-9.99

*can not be lower than 1 or higher than 10*

500

Convert back into scientific notation form:

3,459,089.00

3.459089 x 10⁶

*get my front number in range from 1.00-9.99*

*count my jumps to find exponent*

Multi-Step Equations

100

Simplify: Combine like terms

2x + 6 - 4x + 10 - 3 + 10x

8x + 13

2x - 4x + 10x = 8x

6 + 10 -3 = 13

200

Solve equation:

2x - 1 = 3x + 2

x = -3

2x - 1 = 3x + 2

2x = 3x + 3

-1x = 3

x = -3

300

Simplify:

5(3 - 2x) - 4(x + 1)

-14x + 11

5(3 - 2x) = 15 - 10x

-4(x + 1) = -4x -4

15 - 10x -4x -4 = -14x +11

400

Solve for X:

-4 + 6x = 10x + 20

x = -6

-4 + 6x = 10x + 20

-4 = 4x + 20

-24 = 4x

-6 = x

500

What value of y makes the equation true?

3(2y + 3) = 9y - 15

A. y = 8

B. y = 6

C. y = -2

D. y = -5

A. y = 8

3(2y + 3) = 6y +9 

6y + 9 = 9y - 15

9 = 3y -15

24 = 3y

8 = y

Inequalities

100

Solve this inequality:

2x + 6 < -2

x < 2

2x + 6 < -2

2x < 4

x < 2

200

When do you flip your sign when solving inequalities? (which two operations)

flip when multiplying or dividing by a negative number

300

Which value of p satisfies -8(p + 2) < -56

A. 0 

B. 4

C. 5

D. 7

C. 5

-8(p + 2) < -56

-8p -16 < -56

-8p < -40

p > 5

400

Which mathematical inequality represents the following statement? Six times a number is greater than 3 less than 4 times the same number.

A. 6x > 3 - 4x

B. 6x < 3 - 4x

C. 6x > 4x - 3

D. 6x < 4x - 3

C. 6x > 4x - 3

*six times a number 6x*

*greater than >*

*3 less than -3*

*4 times the same number 4x*

500

Look at this inequality.

6x - 2(x + 3) > 3x + 4

Select all the steps that are valid when solving this inequality.

A. Combine like terms on one side

B. Combine 6x - 2(x + 3) as 3x

C. The solution to inequality is x > 10

D. Flip the inequality sign while subtracting

E. Apply distributive property to -2(x +3)

A. Combine like terms on one side

C. The solution to inequality is x > 10

E. Apply distributive property to -2(x + 3)

Misc.

100

A student says that the number is irrational because "it never ends". Is the student correct?

Yes, irrational numbers have non-terminating (repeating) decimals

200

Which statement is true:

A. 0.12 = 1/8

B. 7 x 10^-2 < 7/100

C. 98% = 9.8 x 10^-1

D. 3.4 x 10⁴ < 8 x 10³

C. 98% = 9.8 x 10^-1

98% = 0.98

9.8 x 10^-1 = 0.98

300

Which of the following shows the numbers listed from least to greatest?

A. 0.43, 5.17 x 10^-1, 50%, 5/8

B. 5/8, 5.17 x 10^-1, 50%, 0.43

C. 0.43, 50%, 5.17 x 10^-1, 5/8

D. 5.17 x 10^-1, 5/8, 50%, 0.43

C. 0.43, 50%, 5.17 x 10^-1, 5/8

0.43

50% = 0.50

5.17 x 10^-1

5/8 = 0.625

0.43, 0.50, 0.517, 0.625

400

Sonja went out for dinner. Her bill was $65.80. If Sonja wants to leave a 20% tip, what will be the total cost, no including tax, of the dinner?

A. $78.96

B. $52.64

C. $72.38

D. $13.16

A. $78.96

65.80 x 0.20 = 13.16

65.8 + 13.16 = 78.96

500

Which of the measurements form a right triangle?

*Think pythagorean theorem* a² + b² = c²

A. 10cm, 24cm, 26cm

B. 9cm, 12cm, 18cm

C. 5cm, 7cm, 10cm

D. 17cm, 23cm, 40cm

A. 10cm, 24cm, 26cm

10² = 100            100 + 576 = 676

24² = 576

26² = 676