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You can create printable tests and worksheets from these Grade 11 Linear Equations questions! Select one or more questions using the checkboxes above each question. Then click the add selected questions to a test button before moving to another page.

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What is the equation of the line with a slope of 3 through (-1, 4)
1. y + 4 = 3(x + 1)
2. y - 4 = 3(x + 1)
3. y - 4 = 3(x - 1)
4. y + 4 = 3(x - 1)
5. None of the above
What is the equation of the line through (0, 2) and (-1, 3)?
1. y = -x + 3
2. y = 2
3. y = -x + 2
4. y = -x - 3
5. None of the above
What is the solution to the following system?

${:(x+2y+3z = ,-5),(3x+y-3z = , 4),(-3x+4y+7z = , -7):}$
1. $(-1,0,-2)$
2. $(1,1,2)$
3. $(-1,1,-2)$
4. $(0,1,2)$
What is the slope of the line that passes through (-3,8) and (12,5)?
1. $-3/9$
2. $3/15$
3. $-1/5$
4. $1/5$
Write the equation of a line parallel to $y=2/5 x-3$ that goes through the point (1,-1).
1. $y=5/2x-3$
2. $y=2/5x-7/5$
3. $y=-5/2x-7/5$
4. $y=-5/2x+3/2$
Solve.
$x + 2y + z = -4$
$x - y - z = -1$
$-5x + 3y + 4z = 4$
1. $(-1,-1,-1)$
2. $(5,3,3)$
3. $(3,-5,1)$
4. $(-5, 5, -9)$
Graphing the equation y = -3x + 12 results in a line in which quadrants of the Cartesian Plane?
3. Quadrants I, II, and III
4. Quadrants I, II, IV but not III
Kevin weighs sets of small rock samples for his science class. A set of 2 quartz, 2 mica, and 1 granite rocks weigh 22 grams. A set of 1 quartz, 1 mica, and 2 granite rocks weigh 20 grams. A set of 1 quartz, 3 mica, and 1 granite rocks weigh 20 grams. Samples of each rock type have the same weight. Write a system of linear equations. Solve the system to determine the weight of each rock. x = weight on the quartz rock, y = the weight of the mica rock, and z = the weight of the granite rock.
1. $x + y + z = 22, \ \ \ 2x + 2y + 2z = 20, \ \ \ 2x + y + z = 20; \ \ \ (x,y,z) = (6, 5,3)$
2. $2x+y+2z=22, \ \ \ x+2y+2z=20, \ \ \ x+2y+z+20; \ \ \ (x,y,z) = (5,6,3)$
3. $2x+2y+z=22, \ \ \ x+y+2x=20, \ \ \ x+3y+z=20; \ \ \ (x,y,z) = (5,3,6)$
4. $x+y+2z=22, \ \ \ 2x+z+2z=20, \ \ \ x+2y+2z=20; \ \ \ (x,y,z) = (3,6,5)$
Solve.
$2x + 2y + 2z = 18$
$3x + 5y + 4z = 22$
$x + 4y + 2z = 12$
1. x = 38, y = 16, z = -37
2. x = 12, y = 8, z = -11
3. x = 22, y = 8, z = -21
4. x = -20, y = -8, z =-21
Which equation of a line in slope-intercept form passes through (-5, 2) and has a slope of 3?
1. $y=3x-2$
2. $y=3x+5$
3. $y=3x-13$
4. $y=3x+17$

3x + 4y = 12
1. The given is in slope intercept form with a positive slope of 4/3.
2. Is an example of a linear equation.
3. Has two variables, has coefficients of 3 & 4.
4. Can be solved in terms of y.