You want to join a gym. There are 3 gyms that are close to you. The following representations show the total monthly cost for each gym. Which gym charges the most per month?

All three gyms charge the same amount per month.

Bryce wants to solve the system of equations below using substitution. What would be her best first step? Equation 1: x - 4y = 10 Equation 2: 2x - 5y = 16

Add 4y to both sides of Equation 1.

Subtract 4y to both sides of Equation 1.

Multiply Equation 1 by 2 and then subtract the equations.

Add 5y to both sides of equation 2.

Identify ALL the true statements about the quadratic function $$f(x)=-3x^2+6x-4$$ .

The increasing interval is $$(-\infty,\ 1)$$

The vertex is at the point (1, -1)

An equivalent form is $$f(x)=-3(x-1)^2-1$$

An equivalent form is $$f(x)=-3(x+1)^2-1$$

The vertex is at the point (-1, 1)

Nesta took medication to help her headache. The amount, A, in milligrams, of the medication left in her body after t hours, is represented by the function $$A(t)=200(0.63)^t$$ . Select all true statements about the function.

Nesta initially took 200 mg of the medication.

The medication in Nesta’s body is decreasing by 37% per hour.

After 4 hours there is 31.5 mg left in Nesta’s body.

Nesta initially took 126 mg of the medication.

The medication in Nesta’s body is decreasing by 63% per hour.

Function A is represented with the equation -3x + 2y = 10. The graph of function B has a slope of $$\frac{3}{2}$$ and a y-intercept of 6. Select two statements that are true about function A and function B.

A. Functions A and B have the same slope.

F. The y-intercept of function B is greater than the y-intercept of function A.

C. The slope of function A is greater than the slope of function B.

B. Functions A and B have the same y-intercept.

D. The slope of function B is greater than the slope of function A.

Gavin is using the complete the square method to solve the quadratic below. $$3x^2-18x=21$$ . Which of the following describes Gavin’s best first step?

A. Take half of 18 and then square it.

Given the system of equations compare their key characteristics to determine the type of solution. Line 1: slope=3 y-intercept= -2 Line 2: 4x + 3y = 12

The slopes and y-intercepts are both different. The system will create intersecting lines and therefore have one solution

The slopes and y-intercepts are both the same. The system will create one line and therefore infinite number of solutions.

The slopes are the same and the y-intercepts are different. The system will create parallel lines and therefore have no solutions.

The slopes and y-intercepts are both different. The system will create intersecting lines and therefore have no solutions.

The scatter plot shows babies’ ages and their weights. The y-intercept of the linear model shows that

babies weigh about 8 lbs at birth

babies weigh about 2 lbs at birth

each baby gains about 2 lbs per month

each baby gains about 8 lbs per month

Which statement is true based off the graph.

10 minutes costs $20 for both companies.

20 minutes costs $10 for both companies.

Company Z is cheaper for minutes less than 10.

Company S is more expensive for less than 10.

The table shows the time students spent practicing the day before the 100 meter sprint and the finishing time for the sprint.

The correlation coefficient is -0.99, which suggests a strong negative correlation between the variables.

The correlation coefficient is 0.09, which suggests a weak positive correlation between the variables.

The correlation coefficient is 0.99, which suggests a strong positive correlation between the variables.

The correlation coefficient is -0.01, which suggests a weak negative correlation between the variables.

Look at the two expressions: Expression 1: 3(y + 4) Expression 2: 3y + 4 Which of the following statement is true?

For any value of y the expressions are not equivalent.

For any value of y the expressions are equivalent.

The expressions are equivalent because both expressions have a value of 4 when y = 0.

The expressions are not equivalent because they only have the same value when y = 0.

Xander is solving the function below using the quadratic formula. His solution method is recorded below. Identify the step in which Xander made an error and then correct the mistake. Given: $$2x^2-13x-24=0$$ Step 1: $$\frac{13\pm\sqrt[]{\left(-13\right)^2-4\left(2\right)\left(-24\right)}}{2\left(2\right)}$$ Step 2: $$\frac{13\pm\sqrt{23}}{2\left(2\right)}$$ Step 3: $$\frac{13\pm\sqrt[]{23}}{4}$$

Step 2: The discriminant should be 361.

Step 1: 13 should be negative outside the square root.

Step 1: 13 should be positive. The discriminant should be 361.

Xander did not make an error. The solution is correct.

The table shows the values of an exponential function. Select ALL true statements about the function modeled by the values shown in the table.

The y-intercept of the functions is 2

The horizontal asymptote of the function is y = 0

The x-intercept of the function is -5

The function is decreasing in its domain

The vertical asymptote of the function is x = 1.5

Identify the key features of the following quadratic function. $$f\left(x\right)=2\left(x-3\right)^2+5$$

The axis of symmetry is x = 3, the vertex is (3, 5), the function has a minimum value of 5.

The axis of symmetry is x = 3, the vertex is (3, 5), the function has a maximum value of 5.

The axis of symmetry is x = -3, the vertex is (-3, 5), the function has a minimum value of 5.

The axis of symmetry is x = -3, the vertex is (-3, 5), the function has a maximum value of 5.

Intermediate Algebra -- Practice EOC

Authored by Eric Wright-NCVA

Mathematics

10th Grade

CCSS covered

Used 5+ times

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58 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A system of equations is shown below. $3x-2y=23$
$x-3y=3$ Which system of equations has the same solution as the system of equations shown?

$2x-5y=7$ $3x+y=13$

$2x+5y=7$ $3x-y=13$

$5x-3y=39$ $2x-y=16$

$5x+3y=39$ $2x+y=16$

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A certain type of lily plant is growing in a pond in such a way that the number of plants is growing exponentially. The number of plants, N, in the pond at time, t, is modeled by the function $N(t)=ab^t$ , where a and b are constants and t is measured in months. The table represents the function.
Which equation can be used to find the number of plants in the pond at time t?

$N(t)=150\cdot\left(\frac{1}{3}\right)^t$

$N(t)=50\cdot\left(\frac{1}{3}\right)^t$

$N(t)=50\cdot\left(3\right)^t$

$N(t)=150(3)^t$

Tags

CCSS.HSF.LE.A.2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The graph of $f(x)=2^x$ is graphed below. The function g(x) is a transformation of f(x). Which equation best represents the transformed graph g(x)?

$g\left(x\right)=2^{x-4}-2$

$g(x)=2^{x+3}-2$

$g(x)=2^{x-2}-3$

$g(x)=2^{x+2}-3$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The diagram below shows the ages of 4 students in a class. Kellen says that this example is NOT a function because more than one student is 13 years old. Do you agree with Kellen? Why or why not?

I agree with Kellen that it is NOT a function because no y-values can repeat in a function.

I do not agree with Kellen. This is a function because y-values can repeat as long as no x-value repeats.

I agree with Kellen that it is NOT a function because true functions only originate from the Funxioun region of France.

I do not agree with Kellen. This is a function because x-values can repeat as long as no y-value repeats.

Tags

CCSS.8.F.A.1

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which equation does not match the parabola below?

y = (x + 3)(x - 1)

y = x² + 2x - 3

y = (x - 3)(x + 1)

y = (x + 1)² - 4

Tags

CCSS.HSF-IF.C.7A

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Sophia is selling bracelets and necklaces at her stall. She sells each bracelet for $6.25 and each necklace for $12.50. In one day she sold a total of 15 bracelets and necklaces and made $125. How many necklaces did Sophia sell?

Tags

CCSS.8.EE.C.8C

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which number is a zero of the function y = 2x² + 5x - 3?

-1/2

1/2

Tags

CCSS.HSA.APR.B.3

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Solve the following equation for x.
$2+4x-3x=x+2$

No Solution

All Real Numbers

x = 0

x = 2

Tags

CCSS.8.EE.C.7A

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Simplify completely.
$2\sqrt{160}$

$2\sqrt{8}$

$8\sqrt{10}$

$4\sqrt{40}$

$2\sqrt{28}$

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Intermediate Algebra -- Practice EOC

A system of equations is shown below. 3x−2y=233x-2y=233x−2y=23 x−3y=3x-3y=3x−3y=3 Which system of equations has the same solution as the system of equations shown?

The graph of f(x)=2xf(x)=2^xf(x)=2x is graphed below. The function g(x) is a transformation of f(x). Which equation best represents the transformed graph g(x)?

The diagram below shows the ages of 4 students in a class. Kellen says that this example is NOT a function because more than one student is 13 years old. Do you agree with Kellen? Why or why not?

Which equation does not match the parabola below?

Sophia is selling bracelets and necklaces at her stall. She sells each bracelet for $6.25 and each necklace for $12.50. In one day she sold a total of 15 bracelets and necklaces and made $125. How many necklaces did Sophia sell?

Which number is a zero of the function y = 2x² + 5x - 3?

Solve the following equation for x. 2+4x−3x=x+22+4x-3x=x+22+4x−3x=x+2

Simplify completely. 21602\sqrt{160}2160​

You want to join a gym. There are 3 gyms that are close to you. The following representations show the total monthly cost for each gym.Which gym charges the most per month?

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Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

A system of equations is shown below. $3x-2y=23$
$x-3y=3$ Which system of equations has the same solution as the system of equations shown?

The graph of $f(x)=2^x$ is graphed below. The function g(x) is a transformation of f(x). Which equation best represents the transformed graph g(x)?

Solve the following equation for x.
$2+4x-3x=x+2$

Simplify completely.
$2\sqrt{160}$

You want to join a gym. There are 3 gyms that are close to you. The following representations show the total monthly cost for each gym.
Which gym charges the most per month?