Math: Practice Test Problems

What is the value for x that makes the equation true? 8x-3-6x = -23

-10

Enter the value for x that makes the equation 1/3 (9x-3) + 3 = -13 true.

-2

Solve the equation 4+2x-8 = 8x-6x+2

-4 = 2

Enter the value for x that makes the equation 7x-8+2x-9 = -38 true.

-7/3

Mary claims that √x < x Enter a single digit whole number for x that DOES NOT support Mary's claim.

0

Write the value of x that does not support the claim 5^x/10^x = 1/2 true.

0

Write the value of x that would make the equation 3^x/9^x = 1/3 true.

1

Jose sent 3 x 10^2 texts last year, Mary sent 3 x 10^6 texts the same year. How many times more texts were sent by Mary than Jose.

1 x 10^4 or 10000

A graph represents a proportional relationship if: Give two examples.

1) if it starts at the origin (0, 0) 2) if the line is straight

What is the value for x that makes the equation true? 8x-3-6x = 17

10

Enter the value for the n in the equation. 7^n ∙ 7^6 = 7^8

2

Mary claims that √x < x Enter a single digit number for x that supports Mary'a claim

2

Write the value of x that would make the equation 2^x/8^x = 1/6 true.

2

Royal Park received 6 x 10^6 visitors in 2018. Fun Adventures Park received 3 x 10^4 visitors the same year. Determine how many times more visitors Royal Park receives than Fun Adventures. Answer in Scientific Notation and Standard Notation.

2 x 10^2 and 200

A shipping company delivered 3 x 10^4 packages in 2014 and it delivered 6 x 10^6 packages in 2015. How many times more packages did it deliver in 2015 than in 2014?

2 x 10^2 or 200

Each Raisin box can fit 2^7 raisins. There are 2^21 rasins that need to be boxed. How many boxes do we need?

2^14 or 16384

One jar of cookies can fit 2^4 pieces of cookies. The large bag of cookies that you bought has 2^6 cookies. How many jars of cookies will you need to store all of the cookies away?

2^2 or 4

Last year Cell Mex sold 9 x 10^8 cell phones. Go Cellular! sold 3 x 10^6 cell phones. How many times more cell phones did Cell Mex sell than Go Cellular?

3 x 10^2 or 300

A toy distributor received a shipment of marbles. They need to box them to sell. One box can fit 3^2 marbles. There are 3^9 marbles that need to be boxed. How many boxes do they need?

3^7

Person A has $100 in their bank account, while Person B has $25 in their bank account. How many times more money does Person A have in their bank account than Person B.

4

What is the value for x that makes the equation true? 1/4 (8x-4) +3x = 19

4

What is the value for x that makes the equation true? 1/3 (9x-6) +4x = 33

5

What is the value for x that makes the equation true? 9x+5-5x-12 = 13

5

What is the value for x that makes the equation true? 1/3 (6x-12) + 2x = 20

6

Enter the value for x the equation 4^6 ∙ 4^x = 4^13

7

Select all of the equations that have infinitely many solutions. A) 3 (x+6) = 3x+15+3 B) 2 (x+3) +7x+4 = 7 (x+2) +2 (x-2) C) 4 (2x-5) +2 = 2 (5x-9) D) -2 (3x-5) -4 = -3 (4-2x) -2

A and B

Select all expressions equivalent to (2^-7 ∙ 2^5)^-2 A. 2^14 ∙ 2^-10 B. 1/16 C. 2^-9 ∙ 2^-10 D. 16

A and D

Select all the equations that have infinitely many solutions? A) 3 (4x-2) = -6 (-2x+1) B) -4x-9 = 9 (x-1) -5x C) 6x-2 (2x-7) = 2x+7 D) 4+7x-9 = 3x+2 (2x+4) -13

A and D

Write an equivalent expression in exponential form. A) 9^7/9^2 B) (5^-3)^6 C) 7^6 ∙ 7^3

A) 9^5 B) 5^-18 C) 7^9

Enter the values for n in he equations. A. 7^n • 7^3 B. 6^5/6^n = 6^2

A. 5 and B. 3

Write the equivalent expression in exponential form. A. 9^5/9^2 B. (7^-3)^4 C. 5^-5 • 5^2

A. 9^3 B. 7^-12 C. 5^-5 • 5^2

Indemnify whethert the equation is proportional or nonproportional. A. pc = 12 B. c =8p C. d = 3t D. p = x/12 E. pt = 20

A. Nonproportional B. Proportional C. Proportional D. Proportional E. Nonproportional

Identify whether the equations are proportional or nonproportional. A. y = 5x B. y = 45/x C. m = 22g D. y = 22+x

A. Proportional B. Nonproportional C. Proportional D. Nonproportional

Select all expressions equivalent to (2^-8 ∙ 2^6)^-3 A. 1/64 B. 64 C. 2^24 ∙ 2^-18 D. 2^-11 ∙ 2^3

B and C

Select all equations that have infinitely many solutions. A) -7x-63 = 9 (x-5) -14x B) 10x-2 (3x+6) = 4x-12 C) -5 (3x+6) = -3 (4x-2) D) 12 (x+3) = 4 (2x+9) +4x

B and D

Select all expressions equivalent to (2^-5 • 2^3)^-3 A. 2^-8 • 2^0 B. 2^15 • 2^-9 C. 1/64 D. 64

B and D

How many times larger than 7 x 10^3 is 7 x 10^9? A. 1 x 10^3 B. 1 x 10^-6 C. 1 x 10^6 D. 1 x 10^12

C

Jesse knows that the relationship between the number of pounds of fruit, p, and the total cost, c, is proportional. Which equation could represent this relationship? A) c = 2.5/p B) cp = 2.5 C) c = 2.5p D) c = 2.5 + p

C

The relationship between the total distance traveled, d, and the number of hours, h, is proportional. Which equation could represent this relationship? A. h = 55d B. d = 55+h C. d = 55h D. d = 55/h

C

Select all equations that have infinitely many solutions. A) -7x-63 = 9 (x-5) -14x B) -5 (3x+6) = -3 (4x-2) C) 10x-2 (3x-6) = 4x+12 D) 12 (x+3) = - (-8x-36) +4

C and D

How many times larger than 4 x 10^5 is 8 x 10^12? A. 1 x 10^17 B. 2 x 10^-17 C. 2 x 10^7 D. 2 x 10^-7

C. 2 x 10^7

Goofy solved the following linear equation. 7+7x+9-2x = 9x+4-4x 5x+16 = 5x+4 16 = 4 Which statement correctly interprets Goofy's solution? A. The solution is (16, 4) B. The solution is x = 0 C. There are infinitely many solutions D. There is no solution since 16 = 4 is a false statement.

D

Jose is solving the line equation 7+2x-4 = 9x-4-7x 3+2x = 2x-4 3 = -4 A) The solution is x = -4 B) The solution is the ordered pair (3, -4) C) There is infinitely many solution since 3 = -4 is a false statement. D) There is no solution since 3 = -4 is false a statement

D

Solve the following linear equation. 7x+9-4x = 5x+4-2x What statement correctly interprets your solution? A. The solution is (9, 4) B. The solution is x = 0 C. There are infinitely many solutions. D. There is no solution since 9 = 4 is a false statement.

D

The relationship between the number of hours worked, h, and the total amount of money earned, m, is proportional. Which equation could represent this relationship? A. mh = 12 B. m - 12+h C. m = 12/h D. m = 12h

D

Goofy knows that the relationship between the number of pizzas, p, ordered and the cost, c, is proportional. Write an equation to represent this relationship if each pizza sells for $5.

c = $5p

Enter the equation of the two points in the form c = mf where m is the slope. (0, 0) and (2,3)

c = 3/2f or c = 1.50f

Find the equation of the two points in the form y = mx where m is the slope. (0, 0) and (1, 12)

y = 12x

Find the equation of the two points in the form y = mx+b where m is the slope. (0, 20) and (10,40)

y = 2x+20

Enter the equation of the two two points in the form of y = mx where m is the slope. (0, 0) and (2, 60)

y = 30x

Enter the equation for the two points in the form of y = mx where m is the slope. (0, 0) and (6, 18)

y = 3x

Enter the equation of the two points in the form y = mx where m is the slope. (0, 0) and (4, 12)

y = 3x

Enter the equation of the two points in the form of y = mx where m is the slope. (0, 0) and (3, 18)

y = 6x

Find the equation of the two points in the form of y = mx+b where m is the slope. (0, 0) and (2, 12)

y = 6x+0