Quiz about Njsla Algebra Tara Gunning

Question 1

The rate of change in Proportion B is ___ units greater than the rate of change in Proportion A.

Accepted Answer

2.5

Answer

1.5

Answer

25.5

Answer

43.5

Question 2

What does the slope of the graph of the equation represent?

Accepted Answer

the increase in the height, in inches, of the seedling each week

Answer

the height, in inches, of the seedling after w weeks

Answer

the height, in inches, of the seedling when Eric first planted it

Answer

the total increase in the height, in inches, of the seedling after w weeks

Question 3

In a system of two linear equations, the lines represented by each equation have the same slope. PART A Which could be the total number of solutions to the system of equations? Select each correct answer.

Accepted Answer

no solutions

Accepted Answer

infinitely many solutions

Answer

1 solution

Answer

2 solutions

Answer

3 solutions

Question 4

Line t and $$\Delta ECA$$ and $$\Delta FDB$$ are shown on the coordinate plane.

Which statements are true?

Select all that apply.

Accepted Answer

The slope of $$\overline{AC}$$ is equal to the slope of $$\overline{BC}$$ .

Accepted Answer

The slope of $$\overline{AC}$$ is equal to the slope of $$\overline{BD}$$ .

Accepted Answer

The slope of line t is equal to $$\frac{FB}{FD}$$

Answer

The slope of line t is equal to $$\frac{EC}{AE}$$

Question 5

The graph shows the total number of participants in a town's recreation program at the end of every year since 2000. The line of best fit for the data is given by the equation y=13x+50, where y is the total number of participants x years after the beginning of the year 2000.

Which statement correctly interprets the slope of the line of best fit?

Accepted Answer

The rate of change is 13 new participants every year.

Answer

The rate of change is 1 new participant every 13 years.

Answer

The rate of change is 13 new participants every 13 years.

Answer

The rate of change is 50 new participants every year.

Question 6

See image.

Accepted Answer

It is safe to assume the graph is drawn incorrectly because (2,4) is not a solution of the equations, and it is part of the graph.

Answer

It is safe to assume the graph is drawn correctly because (5,-5) is not a solution of the equation, and it is not part of the graph.

Answer

It is safe to assume the graph is drawn correctly because (0,-8) is a solution of the equation, and it is part of the graph.

Answer

It is safe to assume the entire graph is drawn incorrectly because (-4,0) is not a solution of the equation, and it is not part of the graph.

Question 7

The steps used to solve the equation 2x+8=20 for x are shown below:

2x+8=20

Step 1: 2x=12

Step 2: x=6

Which property makes Step 1 true?

Accepted Answer

Subtraction property of equality

Answer

Division property of equality

Answer

Reflexive property of equality

Answer

Symmetric property of equality

Question 8

The steps used to solve the equation 2x+8=20 for x are shown below:

2x+8=20

Step 1: 2x=12

Step 2: x=6

Which property makes Step 2 true?

Accepted Answer

Division property of equality

Answer

Reflexive property of equality

Answer

Subtraction property of equality

Answer

Symmetric property of equality

Question 9

Guests who rent canoes must pay an insurance fee and are charges for each hour they use the canoe. Last year, the total cost for a guest to rent a canoe for x hours was modeled by the expression 6+8x. This year, they are doubling the cost per hour for renting a canoe but kept the insurance fee the same. Which expression models the total cost for a guest to rent a canoe for x hours this year?

Accepted Answer

6+16x

Answer

12+8x

Answer

6+4x

Answer

3+8x

Question 10

Which expression represents the area of the rectangle shown?

Accepted Answer

$$3x^4+22x^3+31x^2-6$$

Answer

$$3x^2+24x-6$$

Answer

$$3x^4+24x^2-6$$

Answer

$$4x^2+10x+1$$

Question 11

On what interval of x-values is the function g(x) increasing?

Accepted Answer

(0,3)

Answer

(-3,6)

Answer

(1,10)

Answer

(6,10)

Question 12

Which of these points lies on the graph of the equation x-12=y?

Accepted Answer

(-2,-14)

Answer

(4,8)

Answer

(3,15)

Answer

(-4,-8)

Question 13

Juan and Nia are each solving the equation 13x-42=18-7x. Juan's first step was to rewrite the equations as 20x-42=18 while Nia's first step was to rewrite the equation as 13x=60-7x. Who is correctly applying the addition property of equality in the first step of his work?

Accepted Answer

Both Nia and Juan

Answer

Only Juan

Answer

Only Nia

Answer

Neither Nia and Juan

Question 14

Solve for x if :
f(x) = 35
f(x) = 2x + 10

Accepted Answer

12.5

Answer

35

Answer

2

Answer

10.5

Question 15

Solve for f(5):
f(5) = -x + 4

Accepted Answer

-1

Answer

9

Answer

1

Answer

-9

Question 16

Based on the graph, which of the following statements is NOT true?

Accepted Answer

4 jars of jam requires 8 cups of sugar.

Answer

The graph represents a proportional relationship.

Answer

4 jars of jam requires 2 cups of sugar.

Answer

The constant of proportionality for this graph is 1/2.

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