Quiz about Solving Problems Using Equations and Inequalities

Question 1

Equations that have the exact same solutions.

Accepted Answer

equivalent equations

Answer

expressions

Answer

constraint

Answer

ratios

Question 2

A coordinate pair that makes both equations in the system true.

Accepted Answer

solution to a system of equations

Answer

expression

Answer

constant of proportionality

Answer

rate of change

Question 3

All pairs of values that make the inequalities in a system true are solutions to the system. This can be represented by the points in the region where the graphs overlap.

Accepted Answer

solutions to a system of inequalities

Answer

system of inequalities

Answer

system of equations

Answer

variables

Question 4

Two systems are this if they share the exact same solution set.

Accepted Answer

equivalent systems

Answer

negative

Answer

parallel

Answer

perpendicular

Question 5

Two or more inequalities that represent the constraints in the same situation.

Accepted Answer

system of inequalities

Answer

system of equations

Answer

equations

Answer

expressions

Question 6

Select all of the correct answers

*Hint: we worked on these types of problems over the past two weeks!

Accepted Answer

Solve a system of equations by graphing

Accepted Answer

Solve a system of equations using elimination

Accepted Answer

Solve a system of equations using any method

Accepted Answer

Solve a system of equations using substitution

Answer

Solve a system of equations using slope and y-intercept

Question 7

Mr. Cain just had his condo appraised to find out its value. According to the appraiser, the condo is currently worth $641,655. That is 50% higher than the condo was worth when he bought it several years ago. What was the value of the condo then?

Accepted Answer

$427,770

Answer

$641,655

Answer

$213,885

Answer

$320,827

Question 8

In order to solve equations using elimination, which steps are necessary to follow? Check all that apply:

Accepted Answer

Make sure the equations have opposite x terms or opposite y terms.

Accepted Answer

Add to eliminate one variable and solve for the other.

Accepted Answer

Plug the result of Step 2 into one of the original equations and solve.

Accepted Answer

State the solution.

Answer

Cross multiply the answer to make sure the variables cancel each other out.

Question 9

What do the equations represent that we've covered this past week?

Accepted Answer

Solving a system of equations

Answer

Solving a system of inequalities

Answer

Solving intercept/slope formulas

Answer

Solving equations of linear graphs

Question 10

What is the purpose of using systems of equations in real-world problems?

Accepted Answer

To solve problems with multiple variables and constraints

Answer

To find the slope of a line

Answer

To graph equations in a digital environment

Answer

To find the y-intercept

Question 11

Which of the following is a real-world example of a system of equations?

Accepted Answer

Determining the cost of two items with different prices

Answer

Finding the area of a rectangle

Answer

Solving for one unknown variable

Answer

Calculating the exact speed of a car

Question 12

Anna buys pens for $2 and pencils for $5. She buys 7 items and spends $26. Which system of equations represents this?

Accepted Answer

$$p+c=7$$ , $$2p+5c=26$$

Answer

$$p+c=26$$ , $$2p+5c=7$$

Answer

$$p+c=5$$ , $$2p+7c=26$$

Answer

$$p+c=2$$ , $$5p+2c=26$$

Question 13

A restaurant sells steak meals for $20 and chicken meals for $15. If 30 meals total $500, what system represents this?

Accepted Answer

$$20x+15y=500$$ , $$x+y=30$$

Answer

$$20x-15y=500$$ , $$x+y=30$$

Answer

$$15x+20y=500$$ , $$x-y=30$$

Answer

$$20x+15y=500$$ , $$x-y=30$$

Question 14

100 tickets sold. Adult tickets are $10, and student tickets are $5. Total revenue is $700. What are the equations?

Accepted Answer

$$10x+5y=700$$ and $$x+y=100$$

Answer

$$5x+5y=700$$ and $$x+y=100$$

Answer

$$100=10x+5y$$ and $$100+x=700$$

Answer

$$10x=700$$ and $$5y=100$$

Question 15

A gym sells memberships for $30 and $300. What is the first step to solve if 20 memberships sold for $3,600?

Accepted Answer

Set up equations for total memberships and cost

Answer

Add the prices of the memberships

Answer

Solve for monthly memberships

Answer

Substitute values into the equations

Question 16

Select the correct graph for each inequality.

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 17

Select the graph for y > -2x - 3

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Solving Problems Using Equations and Inequalities

20 questions

Equations that have the exact same solutions.

Equations that have the exact same solutions are equivalent equations.

A coordinate pair that makes both equations in the system true.

A coordinate pair that makes both equations in the system true is called a solution to a system of equations.

On the graph shown of the equations in a system, the solution is the point where the graphs intersect. In this system, the solution is (2,3).

A method of solving a system of two equations in two variables where you add or subtract a multiple of one equation to another in order to get an equation with only one of the variables.

Elimination is a method of solving a system of two equations in two variables where you add or subtract a multiple of one equation to another in order to get an equation with only one of the variables (thus eliminating the other variable).

All pairs of values that make the inequalities in a system true are solutions to the system. This can be represented by the points in the region where the graphs overlap.

Solutions to a system of inequalities are all pairs of values that make the inequalities in a system true are solutions to the system. The solutions to a system of inequalities can be represented by the points in the region where the graphs of the two inequalities overlap.

Solve the equation shown.
Show the work you do in finding your final answer on the paper provided.

Two or more equations that represent the constraints in the same situation form this.

Two or more equations that represent the constraints in the same situation form a system of equations.

Two systems are this if they share the exact same solution set.

Two systems are equivalent if they share the exact same solution set.

Two or more inequalities that represent the constraints in the same situation.

Two or more inequalities that represent the constraints in the same situation form a system of inequalities.

Select all of the correct answers

*Hint: we worked on these types of problems over the past two weeks!

Mr. Cain just had his condo appraised to find out its value. According to the appraiser, the condo is currently worth $641,655. That is 50% higher than the condo was worth when he bought it several years ago. What was the value of the condo then?

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Solving Problems Using Equations and Inequalities

20 questions

Equations that have the exact same solutions.

Equations that have the exact same solutions are equivalent equations.

A coordinate pair that makes both equations in the system true.

A coordinate pair that makes both equations in the system true is called a solution to a system of equations.On the graph shown of the equations in a system, the solution is the point where the graphs intersect. In this system, the solution is (2,3).

A method of solving a system of two equations in two variables where you add or subtract a multiple of one equation to another in order to get an equation with only one of the variables.

Elimination is a method of solving a system of two equations in two variables where you add or subtract a multiple of one equation to another in order to get an equation with only one of the variables (thus eliminating the other variable).

All pairs of values that make the inequalities in a system true are solutions to the system. This can be represented by the points in the region where the graphs overlap.

Solutions to a system of inequalities are all pairs of values that make the inequalities in a system true are solutions to the system. The solutions to a system of inequalities can be represented by the points in the region where the graphs of the two inequalities overlap.

Solve the equation shown. Show the work you do in finding your final answer on the paper provided.

Two or more equations that represent the constraints in the same situation form this.

Two or more equations that represent the constraints in the same situation form a system of equations.

Two systems are this if they share the exact same solution set.

Two systems are equivalent if they share the exact same solution set.

Two or more inequalities that represent the constraints in the same situation.

Two or more inequalities that represent the constraints in the same situation form a system of inequalities.

Select all of the correct answers*Hint: we worked on these types of problems over the past two weeks!

Mr. Cain just had his condo appraised to find out its value. According to the appraiser, the condo is currently worth $641,655. That is 50% higher than the condo was worth when he bought it several years ago. What was the value of the condo then?

Create a free account and access millions of resources

Similar Resources on Wayground

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Discover more resources for Mathematics

A coordinate pair that makes both equations in the system true is called a solution to a system of equations.

On the graph shown of the equations in a system, the solution is the point where the graphs intersect. In this system, the solution is (2,3).

Solve the equation shown.
Show the work you do in finding your final answer on the paper provided.

Select all of the correct answers

*Hint: we worked on these types of problems over the past two weeks!