Quiz about Solutions to two variable linear equalities

Question 1

Which of the following are solutions?

Choose 3

Accepted Answer

$$\left(5,\ 2\right)$$

Accepted Answer

$$(3,-1)$$

Accepted Answer

$$(-1,5)$$

Answer

$$(-4,3)$$

Answer

$$(5,-5)$$

Question 2

Which of the following are solutions to $$y\ge\frac{1}{5}x+2$$ ?

Choose 3

Accepted Answer

$$(3,5)$$

Accepted Answer

$$(-4,3)$$

Accepted Answer

$$(5,3)$$

Answer

$$(-3,-1)$$

Answer

$$(1,-4)$$

Question 3

Which of the following are solutions to $$y>-\frac{3}{2}x-1$$ ?

Choose 3

Accepted Answer

$$(1,3)$$

Accepted Answer

$$(-2,5)$$

Accepted Answer

$$(4,-2)$$

Answer

$$(2,-4)$$

Answer

$$(-3,-1)$$

Question 4

Which of the following are solutions to $$y\le-\frac{2}{5}x+2$$ ?

Choose 3

Accepted Answer

$$(-5,4)$$

Accepted Answer

$$(-2,-4)$$

Accepted Answer

$$(1,1)$$

Answer

$$(6,2)$$

Answer

$$(-2,7)$$

Question 5

Which of the following are solutions to $$y\le-3x+4$$ ?

Choose 3

Accepted Answer

$$(2,-2)$$

Accepted Answer

$$(-2,-5)$$

Accepted Answer

$$(-5,2)$$

Answer

$$(6,-2)$$

Answer

$$(2,5)$$

Question 6

Which of the following are solutions to $$y\le\frac{5}{4}x-1$$ ?

Choose 3

Accepted Answer

$$(2,1)$$

Accepted Answer

$$(-4,-7)$$

Accepted Answer

$$(6,2)$$

Answer

$$(4,4)$$

Answer

$$(-2,3)$$

Question 7

Which of the following are solutions to $$y\le2x+2$$ ?

Choose 3

Accepted Answer

$$(1,4)$$

Accepted Answer

$$(-3,-5)$$

Accepted Answer

$$(4,2)$$

Answer

$$(2,7)$$

Answer

$$(-3,1)$$

Question 8

Examine the following graph of the linear inequality $$y\le\frac{2}{3}x-2$$ .

Choose 3

Accepted Answer

points along the boundary are included in the solution.

Accepted Answer

The point $$(1,-5)$$ is a solution to the inequality.

Accepted Answer

The point $$(6,\ 2)$$ is a solution to the inequality.

Answer

Points along the boundary are NOT included in the solution.

Answer

The point $$(2,\ 3)$$ is a solution to the inequality.

Question 9

Examine the following graph of the linear inequality $$y>-\frac{1}{2}x-3$$ .

Choose 3

Accepted Answer

Points along the boundary are NOT included in the solution.

Accepted Answer

The point $$(1,\ 5)$$ is a solution to the inequality.

Accepted Answer

The point $$(-3,\ -1)$$ is a solution to the inequality.

Answer

points along the boundary are included in the solution.

Answer

The point $$(2,\ -4)$$ is a solution to the inequality.

Question 10

Solve the inequality: $$7-2x\le35$$

Accepted Answer

$$x\ge-14$$

Answer

$$x\le-14$$

Answer

$$x\ge-35$$

Answer

$$x\le-35$$

Question 11

Solve the inequality: $$-9x+10<28$$

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 12

Which are solutions to the inequality: $$3\left(1+x\right)>-21$$

Choose 3

Accepted Answer

$$-5$$

Accepted Answer

$$-1$$

Accepted Answer

$$4$$

Answer

$$-8$$

Answer

$$-15$$

Question 13

Solve the inequality: $$3(6-7x)>-4x+1$$

Accepted Answer

$$x<1$$

Answer

$$x>1$$

Answer

$$x>-2$$

Answer

$$x<-2$$

Question 14

Solve the inequality: $$28-4x\le-12x+12$$

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 15

Which are solutions to the inequality: $$-5\left(x+8\right)\le-32-7x$$

Choose 3

Accepted Answer

$$4$$

Accepted Answer

$$-8$$

Accepted Answer

$$1$$

Answer

$$5$$

Answer

$$12$$

Solutions to two variable linear equalities

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