1. Name the point with the given coordinates.
(–4, 2)
A coordinate grid with four labeled points is shown.
Both the x- and y-axes are between negative 5 and 5, and each interval mark on the grid represents one unit. Four points are plotted.
· Point G is two units to the right of the y-axis and four units above the x-axis.
· Point H is four units to the right of the y-axis and two units below the x-axis.
· Point J is two units to the left of the y-axis and four units below the x-axis.
· Point K is four units to the left of the y-axis and two units above the x-axis.
(1 point)
H
K
J
G
J
2. You start a search for a buried object by marking the center of a field as (0, 0), with coordinates giving distances in yards. Coordinates to the north or east are positive and coordinates to the south or west are negative. You find nothing at (–12, 8), so you try a likely-looking spot 3 yards to the east and 11 yards to the south of the first spot. What are the coordinates of the second spot? (1 point)
(–9, 19)
(–9, –3)
(–15, 19)
(–15, –3)
(–9, –3)
3. Choose the function table that matches the given rule.
Output = Input – 3 (1 point)
Input
Output
–2
–5
1
–2
6
3
Input
Output
2
–1
–2
3
0
–6
Input
Output
5
2
2
–5
0
9
Input
Output
6
3
–6
–3
5
0
Input | Output
------|-------
–2 | –5
1 | –2
6 | 3
Function table:
Input | Output
------|-------
–2 | –5
1 | –2
6 | 3
4. Make a table and graph the function.
y = 3x + 2
(1 point)
graphThe graph shows x values of negative 2, negative 1, zero, 1, and 2. The y values are negative 4, negative 1, 2, 5, and 8. The line passes through the points left-parenthesis negative 2 comma negative 4 right-parenthesis left-parenthesis negative 1 comma negative 1 right-parenthesis left-parenthesis zero comma 2 right-parenthesis left-parenthesis 1 comma 5 right-parenthesis.
graphThe graph shows x values of negative 2, negative 1, zero, 1, and 2. The y values are 6, 1, 2, 3, and 8. The line passes through the points left-parenthesis negative 2 comma negative 2 right-parenthesis left-parenthesis negative 1 comma zero right-parenthesis left-parenthesis zero comma 2 right-parenthesis left-parenthesis 1 comma 4 right-parenthesis.
graphThe graph shows x values of zero, negative 1, 3, 1, and 2. The y values are 6, zero, 2, 3, and 8. The line passes through the points left-parenthesis negative 6 comma negative 1 right-parenthesis left-parenthesis negative 5 comma zero right-parenthesis left-parenthesis negative 4 comma 1 right-parenthesis left-parenthesis negative 3 comma 2 right-parenthesis.
graphThe graph shows x values of 2, negative 1, 3, 1, and 2. The y values are 3, zero, 2, 3, and 8. The line passes through the points left-parenthesis 6 comma negative 1 right-parenthesis left-parenthesis 5 comma zero right-parenthesis left-parenthesis 4 comma 1 right-parenthesis left-parenthesis 3 comma 2 right-parenthesis.
Table:
x | y
--|--
-2| -4
-1| -1
0 | 2
1 | 5
2 | 8
Graph:
```
|
8 | ●
|
7 |
|
6 |
|
5 | ●
|
4 |
|
3 | ●
|
2 |
|
1 | ●
|
0 |
| ●
-1 |
|
-2 | ●
|
-------------
-2 -1 0 1 2
```
5. Solve the equation. 5x + 2 = 62 (1 point)
11.5
12
12.8
36
x = 12
6. Solve the equation.
Start Fraction x over 4 End Fraction + 1 = –6 (1 point)
2
–4
–22
–28