Grade 8 · Math

8th grade Is this point a solution of the equation? worksheet

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Is this point a solution of the equation?

Grade 8 Math Worksheet

NameDate

Circle the best answer, or write your answer on the line.

1.
Milo tests the point (3, -2) on the line y = -2x + 4. Is (3, -2) a solution?
- Cannot tell without a graph
- No
- Yes
2.
Pia tests the point (7, -2) on the line y = -x + 5. Is (7, -2) a solution?
- Cannot tell without a graph
- Yes
- No
3.
Tala tests the point (3, 6) on the line y = 2x − 3. Is (3, 6) a solution?
- Yes
- Cannot tell without a graph
- No
4.
Ari's line is y = -3x + 2. Which of these points is a solution?
- (2, 8)
- (2, -6)
- (-4, 2)
- (2, -4)
5.
Bo's line is y = 2x − 5. Which of these points is a solution?
- (4, 13)
- (3, 4)
- (4, 3)
- (4, 8)
6.
Jun's line is y = 4x − 1. Which of these points is a solution?
- (-9, -2)
- (-2, -8)
- (-2, -9)
- (-2, -7)
Kira's line is y = 3x − 4. The point (5, ?) is on the line. What number goes in place of the ?
Luz's line is y = -2x + 9. The point (6, ?) is on the line. What number goes in place of the ?
Milo's line is y = 2x + 5. The point (?, 13) is on the line. What number goes in place of the ?
Noah's line is y = 3x − 1. The point (?, -7) is on the line. What number goes in place of the ?

Is this point a solution of the equation?. Every version has 10 questions, and the answer key prints on the second page.

I can tell whether a point (x, y) is a solution of y = mx + b by putting x in and comparing with y.
I can find the missing coordinate of a solution, and the missing number in an equation from one solution.
I can say that a line has endlessly many solutions, one at every point.

Standard: 8.EE.C.8a (partial: a point that satisfies an equation; the system part is row 21), 8.F.A.3 (partial); Grade 6 base: 6.EE.B.5

solution: A point (x, y) that makes the equation true.

substitute: Put a number in place of a letter.

ordered pair: Two numbers (x, y): x first, y second.

rule: y = mx + b: put x in to get y.

on the line: A point whose x and y fit the equation.

Your child left out the added number in the rule.

Your child put the numbers of the point in the wrong places.

Your child lost a minus sign while putting the point into the rule.

Ask: what do you get when you put x in? Did you use the whole rule?

Ask: in (3, 7), which number is x and which is y?

Ask: which numbers in the rule are negative?

What is the most common mistake with is this point a solution of the equation??

Your child left out the added number in the rule.

How can I help my child with is this point a solution of the equation??

Ask: what do you get when you put x in? Did you use the whole rule?

Are these 8th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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