Question

name: harmony date: 10/29/2025
directions: solve each problem in the box to the right. make sure to circle or box your answer.

1. ( 2x + 4y )

( x = - 3, y = 2 )

1. ( 8x + 5y )

( x = 1, y = - 5 )

1. ( - 2a + 4b )

( a = - 6, b = 3 )

1. ( 4x + 7 - 2y )

( x = 7, y = - 6 )

1. ( 5z + 12 - 4k )

( z = - 5, k = 2 )

1. ( 2(-x - 2y) )

( x = 6, y = 9 )

Explanation:

Step1: Substitute values into \(2x + 4y\)

Given \(x=-3,y = 2\), then \(2x+4y=2\times(-3)+4\times2\)

$$
LATEXBLOCK0
$$

Step2: Substitute values into \(8x + 5y\)

Given \(x = 1,y=-5\), then \(8x+5y=8\times1+5\times(-5)\)

$$
LATEXBLOCK1
$$

Step3: Substitute values into \(-2a + 4b\)

Given \(a=-6,b = 3\), then \(-2a+4b=-2\times(-6)+4\times3\)

$$
LATEXBLOCK2
$$

Step4: Substitute values into \(4x+7-2y\)

Given \(x = 7,y=-6\), then \(4x+7-2y=4\times7+7-2\times(-6)\)

$$
LATEXBLOCK3
$$

Step5: Substitute values into \(5z+12-4k\)

Given \(z=-5,k = 2\), then \(5z+12-4k=5\times(-5)+12-4\times2\)

$$
LATEXBLOCK4
$$

Answer:

1. \(2\)
2. \(-17\)
3. \(24\)
4. \(47\)
5. \(-21\)