##### Print Instructions

NOTE: Only your test content will print.
To preview this test, click on the File menu and select Print Preview.

See our guide on How To Change Browser Print Settings to customize headers and footers before printing.

# Linear Systems of Equations in Two Variables (Grade 10)

Print Test (Only the test content will print)

## Linear Systems of Equations in Two Variables

1.
Select the solution to the following linear system.
$-5x-3y-9 = 0$
$4x-18y-54=0$
1. $x=-3, y=0$
2. $x=0, y =-3$
3. $x=3, y=0$
4. $x=0, y=3$
2.
Which linear system has the solution $x=-2$ and $y=6$?
1. $x+3y=16; \ \ \ 4x+4y=16$
2. $x+2y=-2; \ \ \ 2x+4y=-4$
3. $x+3y=17; \ \ \ 2x+y=15$
4. $2x+y=-2; \ \ \ x+y=16$
3.
Select the solution to the following linear system.
$-6y+11x=-36$
$-4y+7x=-24$
1. $y=0, x=-6$
2. $y=6, x=0$
3. $y=0, x=6$
4. $y=-6, x=0$
4.
Solve for $y$ in the following system of equations.
$x-y=-1$
$3x+5y=21$
1. 2
2. 9
3. 3
4. 12
5.
Solve for $x$ in the following system of equations.
$14x+5y=31$
$2x-3y=-29$
1. 9
2. 1
3. -9
4. -1
6.
The first equation of a linear system is: $2x+3y=52.$ Choose a second equation to form a linear system with infinite solutions:
(i)$2x+3y=-260$; (ii)$-10x-15y=-260$; (iii)$-10x+3y=-260$; (iv)$-10x+3y=255$
1. Equation (iii)
2. Equation (iv)
3. Equation (i)
4. Equation (ii)
7.
Solve for $y$.
$y=-(13/4)x+7$
$y=(3/4)x-9$
1. 4
2. 6
3. -4
4. -6
8.
Create a linear system to model this situation: A man is 3 times as old as his daughter. In 13 years, he will be 2 times as old as his daughter will be.
1. $m=d+3; m+13=2d$
2. $m=3d; m=2d$
3. $m=3d; m+13=2(d+13)$
4. $m=3d; d+13=2(m+13)$
9.
Solve the following system for $x$.
$-4x-15y+17=0$
$-x+5y+13=0$
1. 1
2. 8
3. -1
4. -8
10.
Write an equivalent system with integer coefficients.
$5x+(3/2)y=14$
$(5/6)x+5y=755/6$
1. $10x+3y=1; 5x+30y=1$
2. $10x+3y=28; 30x+5y=755$
3. $3x+10y=28; 5x+30y=755$
4. $10x+3y=28; 5x+30y=755$
You need to be a HelpTeaching.com member to access free printables.