Quiz about Algebra 1A - Skill Test 01

Question 1

Which unit of distance is part of the SI system of measurement?

Accepted Answer

meters

Answer

inches

Answer

miles

Answer

feet

Question 2

Sam runs 2 miles in 12 minutes.

Which describes the simplified rate at which Sam runs in minutes per mile?

Accepted Answer

6 minutes per 1 mile

Answer

6 minutes per 2 miles

Answer

12 minutes per 2 miles

Answer

12 minutes per 6 miles

Question 3

$$\sqrt{11}$$ is a rational number.

Accepted Answer

FALSE

Answer

TRUE

Question 4

A submarine is at sea level and starts descending at a rate of 40 meters per minute.

After 20 minutes, the submarine is

Accepted Answer

800 meters below the sea level

Answer

20 meters below the sea level

Answer

200 meters below the sea level

Answer

40 meters below the sea level

Question 5

$$\frac{x^6}{x^{-6}}=1$$

Accepted Answer

FALSE

Answer

TRUE

Question 6

Simplify $$\left(3a^6\right)^2$$

Accepted Answer

$$9a^{12}$$

Answer

$$9a^6$$

Answer

$$6a^5$$

Answer

$$6a^8$$

Question 7

Simplify the expression: $$\left(\frac{4^{-2}}{2^{-3}}\right)^{-2}$$

Accepted Answer

4

Answer

32

Answer

16

Answer

8

Question 8

What type of number is the product of $$x\cdot y\ if\ x\ =\ -2\ and\ y\ =\ -3$$

Accepted Answer

Whole numbers

Accepted Answer

Integer

Accepted Answer

Rational number

Accepted Answer

Real Number

Answer

Irrational Number

Question 9

Which is the simplification of $$-5^2$$

Accepted Answer

-25

Answer

25

Answer

-10

Answer

10

Question 10

Simplify the expression $$\left(\frac{a^3b^{-10}c^7}{a^6b^{10}c}\right)^2$$ completely.

Accepted Answer

$$\frac{c^{12}}{a^6b^{40}}$$

Answer

$$\frac{c^8}{ab^2}$$

Answer

$$\frac{c^{64}}{a^9}$$

Answer

0

Question 11

Simplify $$\frac{21y^2}{7y}$$

Accepted Answer

$$3y$$

Answer

$$14y$$

Answer

$$3y^2$$

Answer

$$28y$$

Question 12

Solve for t in the equation $$3\left(3t-\frac{25}{3}\right)=2\left(t+5\right)$$

Accepted Answer

5

Answer

2

Answer

3

Answer

8

Question 13

Which step should you use to solve the inequality $$\frac{x}{3}\le19$$ ?

Accepted Answer

Multiply both sides with 3

Answer

Divide both sides by 3

Answer

Add both sides by 3

Answer

Substract both sides by 3

Question 14

Solve for g in $$\frac{5}{8}=\frac{12}{g}$$

Accepted Answer

19.2

Answer

7.5

Answer

24

Answer

3.3

Question 15

Calculate the value of n in the equation $$6n+4y=x−5$$

when $$y=4$$ and $$x=33$$

Accepted Answer

n = 2

Answer

n= -2

Answer

n = 3.5

Answer

n = 4

Question 16

A recipe calls for 4 cups of flour to make 3 dozen cupcakes.

Which proportion could you solve to determine how many dozen cupcakes, d, you can make with 2 cups of flour?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 17

Which ratios are proportional? Select all that apply

Accepted Answer

$$\frac{18}{30}\ and\ \frac{12}{20}$$

Accepted Answer

$$\frac{4}{6}\ and\ \frac{16}{24}$$

Answer

$$\frac{8}{12}\ and\ \frac{20}{4}$$

Answer

$$\frac{2}{5}\ and\ \frac{6}{9}$$

Question 18

Horatio spent $19.50 for 6 gallons of gasoline.

How much will he spend for 14 gallons of gasoline?

Accepted Answer

$45.50

Answer

$273

Answer

$117.50

Answer

$84

Question 19

There are 25 marbles in the box. There are 10 red marbles, 8 blue marbles, and 7 yellow marbles. What percent, p, of the marbles are NOT yellow?

Accepted Answer

72%

Answer

28%

Answer

18%

Answer

82%

Question 20

Solve the inequality $$−3x+2>5x+10$$

x = -5 is a solution

Accepted Answer

TRUE

Answer

FALSE

Question 21

The table shows

the number of concert tickets sold ,T,

and the profit earned, P.

Which equation represents this information?

Accepted Answer

P = 3T - 50

Answer

P = 3T + 50

Answer

P = 2T

Answer

P = 2T - 50

Question 22

Colton graphed the linear inequality y>2x+1. His graph is shown below.

View Image Description

Which statement about Colton's graph is TRUE?

Accepted Answer

Colton should have made the boundary line dashed instead of solid.

Answer

Colton graphed the slope incorrectly.

Answer

Colton graphed the inequality correctly.

Answer

Colton should have shaded below the boundary line.

Question 23

Equations $$y=−6x+13$$ and $$y=-6x-12$$ represent parallel lines. TRUE or FALSE

Accepted Answer

TRUE

Answer

FALSE

Question 24

What is the range of the function represented by the ordered pairs

$$\left\{(−3,5),(−1,6),(1,7),(3,8)\right\}$$ ?

Accepted Answer

$$\left\{5,6,7,8\right\}$$

Answer

$$\left\{5,−1,1,8\right\}$$

Answer

$$\left\{−3,6,7,8\right\}$$

Answer

$$\left\{−3,−1,1,3\right\}$$

Question 25

the line y=3, shown on the graph, a function. TRUE/FALSE

Accepted Answer

TRUE

Answer

FALSE

Question 26

Absolute functions have the graph that looks like a U-shape? TRUE/FALSE

Example: f(x) = |2x + 3|

Accepted Answer

FALSE

Answer

TRUE

Question 27

Which linear inequality is represented on this graph?

Accepted Answer

$$x\ge-3$$

Answer

$$x>-3$$

Answer

$$y>-3$$

Answer

$$y\ge-3$$

Question 28

Given the coordinates on the plane.

I found x-coordinate equal to -3, TRUE or FALSE?

Accepted Answer

FALSE

Answer

TRUE

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