Math SBAC Review

Scientific Notation

100

In 2007, approximately 3,380,000 people visited the Statue of Liberty. Express this number in scientific notation.

A. 0.388 x 10⁷

B. 3.38 x 10⁶

C. 33.8 x 10⁵

D. 338 x 10⁴

B. 3.38 x 10⁶

200

Which of the following are correctly written in scientific notation? 

Note that more than one option may be correct. Select all the correct options

A. .032 x 10⁵

B. 11.002 x 10^-1

C. 1.23 x 10⁵

D. 9.625 x 10^-7

C. 1.23 x 10⁵

D. 9.625 x 10^-7

300

Which of the following numbers has the least value? 

A. -1.56 x 10²

B. -1.56 x 10³

C. 1.56 x 10²

D. 1.56 x 10³

B. -1.56 x 10³

400

Red light has a wavelength of 650 x 10^-9 meters. Express the wavelength in scientific notation.

A. 65.0 x 10^-10

B. 65.0 x 10^-8

C. 6.50 x 10^-7

D. 6.50 x 10^-11

C. 6.50 x 10^-7

500

A strand of hair from a human head is approximately  1 x 10^-4 meters thick. What fraction of a meter is this?

A. 1/100

B. 1/1,000

C. 1/10,000

D. 1/100,000

C. 1/10,000

Exponents

100

1⁹ = ?

A. 1

B. 3

C. 9

D. 1/9

A. 1

200

(3²)³=?

A. 3⁵

B. 3⁶

C. 3

D. 1

B. 3⁶

300

x⁶/x^-2 = ?

A. 1/x³

B. 1/x¹²

C. x⁴

D. x⁸

D. x⁸

400

Select all that apply: What is the square root of 81/289?

A. 1/2

B. 9/17

C. -1/2

D. -9/17

B. 9/17 and D. -9/17

500

The cube root of 66 is between which two integers?

A. 4 and 5

B. 3 and 4

C. 5 and 6

D. 6 and 7

A. 4 and 5

Expressions & Equations

100

Find the solution to the following equation:

7 - 2x = 13 - 2x

A. x = -10

B. x = -3

C. x = 3

D. There is no solution

D. There is no solution

200

The graph of which equation has the same slope as the graph of y= 4x + 3

A. y= -2x + 3

B. y= 2x - 3

C. y= -4x + 2

D. y= 4x - 2

D. y= 4x - 2

300

Which of the following equations has the same slope as the line passing through the points (1, 6) and (3, 10)?

A. y= 2x - 9

B. y= 5x - 2

C. y= 4x - 5

D. y= 9x - 6

A. y= 2x - 9

400

Which of the following describes the solution set of this system?

y= 0.5x + 7

y= 0.5(x - 1)

A. The solution is (-2, -3) because the graphs of the two equations intersect at that point.

B.The solution is (0.5, 3) because they graphs of the two equations intersect at that point

C. There is no solution because the graphs of the two equations are parallel lines

D. There are infinitely many solutions because the graphs of the two equations are the same line.

C. There is no solution because the graphs of the two equations are parallel lines

500

Solve the system:

y= 3x - 7

x + y=9

A. (3, 6)

B. (4, 5)

C. (5, 4)

D. (6, 3)

B. (4, 5)

Rational & Irrational

100

Which of the numbers below is irrational?

A. Square root of 169

B. Square root of 4

C. Square root of 16

D. Square root of 3

D. Square root of 3

200

Which of the following accurately describes the square root of 10?

A. It is rational

B. It is irrational

C. It is an integer

D. It is a whole number

B. It is irrational

300

What is the cube root of 8? Is it rational?

A. Yes, 4

B. Yes, 2

C. No,  about 2.8

B. Yes, 2

400

Complete the sentence: Irrational numbers may always be written as . . .

A. fractions

B. fractions and as decimals

C. decimals but not as fractions

D. neither decimals or fractions

C. decimals but not as fractions

500

Is 0.151515... a rational number? What is its fraction?

A. No, 85/100

B. No, 15/99

C. Yes, 85/100

D. Yes, 15/99

D. Yes, 15/99

Misc

100

If a scatter plot has a line of best fit that decreases from left to right, which of the following terms describes the association?

A. Positive association

B. Negative association

C. Constant Association

D. Nonlinear Association

B. Negative association

200

On a bike ride you start at your house and ride your bike 3.5 miles north and then 1.25 miles east. How far are you directly from your house?

A. 22.56 mi

B. 3.34 mi

C. 3.72 mi

C. 3.72 mi

300

Which of the answers is the correct solution to the following equation?

2x + 5x - 9 = 8x - x - 3 - 6

A. 3

B. 7

C. 9

D. All real values for x are correct solutions

D. All real values for x are correct solutions

400

Solve the System:

10x = -5(y + 2)

y = 3x - 7

A. x= -1, y= 4

B. x= 2, y= 2

C. x=2, y= -2

D. x=1, y= -4

D. x=1, y= -4

500

Janet has packed a total of 50 textbooks and workbooks in a box, but she can't remember how many of each are in the box. Each textbook weighs 2 pounds, and each workbooks weighs 0.5 pounds, and the total weight of the books in the box is 55 pounds. If t is the number of textbooks and w is the number of workbooks, which of the following systems of equations represents this situation? 

A. t + w =55

    2t + 0.5w =50

B. 2t + w =50

    t + 0.5w =55

C. t + w =50

    2t + 0.5w =55

D. t + w =55

    2.5(t + w) =50

C. t + w =50

    2t + 0.5w =55