8학년 3분기 시험

Describe each association: positive linear, negative linear, nonlinear, or no association.

1. 1
   Association: 
2. 2
   Association: 

Use the line of best fit to answer each question.

1. 3
   The line of best fit for hours studied ($x$) and test score ($y$) is $y=5.9x+34$. Predict $y$ when $x=17$.

Find the slope (rate of change) of each table.

1. 4
   $\begin{array}{ccccc}x& -1& 0& 1& 2\\ y& 0& 6& 12& 18\end{array}$ 
2. 5
   $\begin{array}{ccccc}x& 1& 2& 3& 6\\ y& -7& -13& -19& -37\end{array}$ 

Find the slope and the y-intercept of each line.

1. 6
   $y=-2x+10$
2. 7
   $y=-\frac{1}{4}x$
3. 8
   $y=2-3x$
4. 9
   $y=-11+6x$

Write an equation in slope-intercept form for each line.

1. 10
   Equation: 
2. 11
   Equation: 

Is the ordered pair a solution of the equation? Write yes or no.

1. 12
   $(-4,19)$; $y=-4x+3$ 
2. 13
   $(6,-21)$; $y=-4x+1$ 

Find the slope and y-intercept, or write an equation in slope-intercept form.

1. 14
   $y=-12+5x$
2. 15
   slope $-\frac{1}{3}$, through $(-3,7)$

Write function or not a function.

1. 16
   $\{(-6,0),(1,-8),(-2,9),(-2,-5)\}$ 

Evaluate each function.

1. 17
   $f(x)=-4x-12$; $f(5)=$ 
2. 18
   $h(x)=3x-8$; $h(-3)=$ 
3. 19
   $f(x)=2x-3$; $f(-4)=$ 
4. 20
   $g(x)=|x-3|-1$; $g(-9)=$ 

Complete each table.

1. 21
   $y=5x-3$ $\begin{array}{cccccc}x& 2& 3& 5& 6& 8\\ y& 7& & & & 37\end{array}$
2. 22
   $y=-5x+3$ $\begin{array}{cccccc}x& 2& 4& 6& 7& 9\\ y& -7& & -27& & \end{array}$
3. 23
   $y=6x-4$ $\begin{array}{cccccc}x& -3& -2& 0& 3& 6\\ y& & & -4& & 32\end{array}$
4. 24
   $y=\frac{6}{5}x+5$ $\begin{array}{cccccc}x& 5& 20& 35& 50& 65\\ y& & & 47& 65& \end{array}$

Write a linear function y = mx + b for each table.

1. 25
   $\begin{array}{ccccc}x& 2& 3& 4& 6\\ y& 1& 3& 5& 9\end{array}$
2. 26
   $\begin{array}{ccccc}x& -6& -4& 2& 8\\ y& -9& -4& 11& 26\end{array}$

Write a linear function for each situation.

1. 27
   A candle is $11$ cm tall and burns $2$ cm each hour. Write its height $y$ after $x$ hours.

Write linear or nonlinear.

1. 28
   $y=-6x-7$ 
2. 29
   $\begin{array}{ccccc}x& -1& 0& 1& 2\\ y& 2& 1& 2& 5\end{array}$ 

Write the domain and range of each relation.

1. 30
   $\{(1,3),(-6,6),(-6,8),(-8,5),(-2,3),(-8,-4)\}$