Lesson 7 More or Less Practice Understanding

Ready

Substitute the given value of $x$ into the equation to find the value of $y$ .

1.

$5 x - 9 y = 73; x = 2$

2.

$- 4 x + 9 y = 16; x = 5$

3.

$3 x - 8 y = 1; x = - 5$

4.

$- 14 x + 5 y = 51; x = 1$

5.

$9 x - 7 y = 21; x = 0$

6.

$12 x - 15 y = - 42; x = \frac{1}{4}$

Use the given value to find the value of the variable that is not provided.

7.

$5 a + 2 b = - 37$

$b = - 1$

8.

$13 f - 7 g = 10$

$f = - 3$

9.

$2 m + 3 z = - 22$

$z = - 9$

Set

10.

a.

Graph $y < \frac{3}{4} x - 2$ and $y > \frac{3}{4} x + 3$ on the grid.

b.

Can you name $3$ points that satisfy both inequalities for this system?

c.

What is different about this system and most of the others you have seen so far in this unit?

d.

How could you change the inequalities so that there would be points that satisfy the system?

11.

Use the graph of the system of inequalities to determine which of the points listed would be solutions to the system. Select all that apply.

${\begin{cases} y < \frac{1}{2} x - 2 \\ y \geq - 3 x + 2 \end{cases}$

A.

$(4, 0)$

B.

$(2, - 2)$

C.

$(1, 2)$

D.

$(- 2, - 3)$

E.

$(- 4, 0)$

F.

$(5, - 2)$

G.

$(0, 2)$

H.

$(- 1, 6)$

12.

When working with systems of inequalities are points that lie on dotted lines solutions?

Go

Graph each inequality.

13.

$y \leq 3 x - 4$

14.

$y \leq - 2 x + 3$

15.

$y > 4 x - 3$

16.

$3 x + 4 y < 12$

17.

$6 x + 8 y \leq 24$

18.

$5 x + 3 y \leq 15$