Quiz about Forms Of Linear Equations

Question 1

A system of linear equations is represented by line $$h$$ and line $$j$$ . A table representing some points on line $$h$$ and the graph of line $$j$$ are shown.

![](http://admin.getprephub.com/media/editor/Screenshot%202023-05-29%20at%2012.57.13%20PM_20230529105809422557.png)
Which system of equations is best represented by lines $$h$$ and $$j$$ ?

Accepted Answer

Covalent bond

Answer

$$ y=-\frac{3}{4} x-5, y=-\frac{5}{4} x+1 $$

Answer

$$ y=\frac{4}{3} x-5, y=\frac{4}{5} x+1 $$

Answer

$$ y=\frac{3}{4} x-5 , y=\frac{5}{4} x+1 $$

Answer

$$ y=-\frac{4}{3} x-5, y=-\frac{4}{5} x+1 $$

Question 2

Which linear equation represents a line that passes through the point $$(-3,-8)$$ ?

Accepted Answer

Covalent bond

Answer

$$y=2 x-2$$

Answer

$$y=2 x+13$$

Answer

$$y=2 x-8$$

Answer

$$y=2 x-14$$

Question 3

Juan buys peaches and grapefruit at the store. He writes the equations shown to model the relationship between the number of pounds of peaches, $$p$$, and the number of pounds of grapefruit, $$g$$, that he buys.
$$ p+g=2.5 $$
$$ 1.58 p+1.09 g=3.46$$
What is the total number of pounds of peaches and grapefruit that Juan buys?

Accepted Answer

Covalent bond

Answer

$$2.5$$

Answer

$$1.5$$

Answer

$$1.3$$

Answer

$$6$$

Question 4

An equation is shown.

$$y=\frac{1}{2} x+\frac{3}{4}$$

Select all of the points that are contained in the graph of the equation.

Accepted Answer

Covalent bond

Answer

$$(0, \frac{3}{4})$$

Answer

$$(0, \frac{1}{2})$$

Answer

$$(\frac{1}{2}, \frac{1}{2})$$

Answer

$$(\frac{3}{4}, \frac{1}{2})$$

Question 5

A function is shown.

$$f(x)=\frac{2}{3} x+3$$

What is the value of $$f(12)$$ ?

Accepted Answer

Covalent bond

Answer

$$11$$

Answer

$$12$$

Answer

$$13$$

Answer

$$14$$

Forms Of Linear Equations Algebra 1 Maths Problems and Solutions

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