Math A unit Test Review

What is the solution to the system of equations graphed below?

(-5, 1)

Bryce took a quiz that consisted of true-or-false questions and multiple-choice questions. The true-or-false questions were worth 1 point each, and the multiple-choice questions were worth 2 points each. Bryce only knows that he answered 8 questions correctly and earned a total of 14 points. To determine the number of each type of question that he answered correctly, he wrote the system of linear equations and .Which ordered pair is a solution to this system of linear equations, and what does the ordered pair represent?

(2,6); Bryce answered 2 true-or-false questions correctly and 6 multiple-choice questions correctly.

Johanna wrote the system of equations. If the second equation is multiplied by 4, what should the first equation be multiplied by to eliminate the x-variable by addition?

-5

The system of linear equations and is graphed below. How many solutions does the system of equations have?

0

Which system of equations has no solution?

3x-6y=4 and -4x+8y=7

The scouts sold small and large boxes of cookies as a fund raiser. One scout sold 7 small boxes and 12 large boxes for $54.00. Another scout sold 5 small boxes and 10 large boxes for $60.00. The scout leader wrote a system of equations to represent the their sales. Which constants can each equation be multiplied by so that one variable is eliminated when the equations are added? Check all that apply.

The first equation can be multiplied by 5 and the second equation by -6 to eliminate the y. The first equation can be multiplied by -5 and the second equation by 6 to eliminate the y. The first equation can be multiplied by -5 and the second equation by 7 to eliminate the x. The first equation can be multiplied by 5 and the second equation by -7 to eliminate the x.

Which statement is correct about the system of linear equations graphed below?

The system of equations has one solution because the lines will eventually intersect.

Sophia's math test is worth 130 points and has 40 problems. Each problem is worth either 4 points or 3 points. How many of each question type were on the test?

The test had 10 4-point questions and 30 3-point questions.

Tatiana wrote the steps that are commonly used to solve a system of equations with two variables. Which steps are correct? Check all that apply.

Use multiplication to write an equivalent equation with an opposite term. Solve for one of the variables. Add the equivalent system of equations to eliminate a variable. Write the solution as an ordered pair. Substitute the value of the known variable into one of the original equations to solve for the unknown variable.

A system of equations is shown on the graph below. How many solutions does this system have?

no solutions

Thomas was selling tickets to his school play. The tickets cost $5.00 for adults and $2.00 for children. He sold 200 tickets and collected $610. Which system represents the number of adult and child tickets that Thomas sold?

x+y=200 5x+2y=610

The equations in this system were added to solve for x. What is the value of x?

x=2

Arnoldo needs to write this system in slope-intercept form. Which shows how he could do that?

y=3/2x-3 y=1/8x-3/4

Consider this system of equations. Which equation represents the first equation written in slope-intercept form?

y=5/2x-5

The equation is graphed below. Which equation would intersect this line at the point (4, 6)?

y=6