Free Printable Systems of Equations (Texas)

1.

Write two linear equations that model data shown in the table.

a)

57m+ s = -135
14m + s = 403

b)

57m - s = - 135
14m + s = 417

c)

57m + s = 135
14m - s = 167

d)

57m + s = 192
14m + s = 167

2.

Use the graph to write a system of linear equations.

a)

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

b)

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

c)

y = 4/3x + 2
y = -2/3x -4

d)

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

3.

Write an equation that matches the graph.

a)

5x + 3y ≥ 12

b)

5x + 3y ≤ 12

c)

5x + 3y > 12

d)

5x + 3y < 12

4.

Determine the solution to the linear system
3y = 9x + 18
2y + 6x = 10

a)

(-5.5, 1.666)

b)

(5.5, -1.666)

c)

(1.666..., -5.5)

d)

(-1.666..., 5.5)

5.

Which statement best describes the solution set to the linear system
4x + 8y = 16
2x = 8 - 4y

a)

The lines intersect at one point so the system has one solution.

b)

The lines don't intersect at all because they are parallel so there is not a solution.

c)

The two lines are actually the same line so there is an infinite number of solutions.

d)

I don't understand the question and I wont respond to it (this choice is wrong).

6.

Identify the system of linear inequalities that matches the graph.

a)

x + y ≤ 35
15x + 10y ≥ 400

b)

x + y ≥ 35
15x + 10y ≤ 400

c)

x - y ≤ 35
15x - 10y ≥ 400

d)

x + y ≤ 35
10x + 15y ≥ 400

7.

Which statement best describes the solution set to the linear system
3x - y = -7
y = 3x - 1

a)

The lines intersect at one point so the system has one solution.

b)

The lines don't intersect at all because they are parallel so there is not a solution.

c)

The two lines are actually the same line so there is an infinite number of solutions.

d)

I don't understand the question and I wont respond to it (this choice is wrong).

8.

Twilight Sparkle and Kha'Zix the Assassin are improving their yards by planting Dandelions and Fire Flower. Twilight Sparkle spent 53.66 on 8 Dandelions and 1 Fire Flower. Kha'Zix the Assassin spent 94.82 on 4 Dandelions and 7 Fire Flowers. What is the cost of each item?

a)

Dandelions cost $10.46
Fire Flowers cost $5.40

b)

Dandelions cost $5.40
Fire Flowers cost $10.46

c)

Dandelions cost $9.14
Fire Flowers cost $7.40

d)

Dandelions cost $7.40
Fire Flowers cost $9.14

9.

Twilight Sparkle and Kha'Zix the Assassin are improving their yards by planting Dandelions and Fire Flower. Twilight Sparkle spent 53.66 on 8 Dandelions and 1 Fire Flower. Kha'Zix the Assassin spent 94.82 on 4 Dandelions and 7 Fire Flowers. Which system of equations models this situation?

a)

d + 8f = 53.66
4d + 7f = 94.82

b)

8d + f = 53.66
7d + 4f = 94.82

c)

8d + f = 53.66
4d + 7f = 94.82

d)

d + 8f = 94.82
4d + 7f = 53.66

10.

Identify the inequality that matches the graph.

a)

2x + y < 4

b)

2x - y < 4

c)

2x + y ≤ 4

d)

2x - y ≤ 4

Systems of Equations (Texas)

Total questions: 10

Worksheet time: 50mins

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