math semester 1 unit 2

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When she subtracts 4 from both sides, 1/2x = -1/2x results. What is the value of x? -1 -1/2 0 1/2

0

Which equation can be used to represent "three minus the difference of a number and one equals one-half of the difference of three times the same number and four"? (1 - n) - 3 = 1/2(4 - 3n) 3 - (1 - n) =1/2 (4 - 3n) (n - 1) - 3 =1/2(3n - 4) 3 - (n - 1) =1/2(3n - 4)

3 - (n - 1) =1/2(3n - 4)

What is the value of x in the equation 1.5(x + 4) - 3 = 4.5(x - 2)? 3 4 5 9

4

Which equation has no solution? 4(x + 3) + 2x = 6(x + 2) 5 + 2(3 + 2x) = x + 3(x + 1) 5(x + 3) + x = 4(x + 3) + 3 4 + 6(2 + x) = 2(3x + 8)

5 + 2(3 + 2x) = x + 3(x + 1)

Jillana begins to solve a linear equation that results in a variable expression set equal to the same variable expression. Which is the best interpretation of this solution? The equation has one solution: x = 0. The equation has one solution: x = 1. The equation has no solution. The equation has infinite solutions.

The equation has infinite solutions.

Solve for n. 11(n - 1) + 35 = 3n n = -6 n = -3 n = 3 n = 6

n=-3

Solve for n. n + 1 = 4(n - 8) n = 1 n = 8 n = 11 n = 16

n=11

How many solutions exist for the given equation? 0.75(x + 40) = 0.35(x + 20) + 0.35(x + 20) zero one two infinitely many

one

How many solutions exist for the given equation? 3(x - 2) = 22 - x zero one two infinitely many

one

Solve for x. 6(x - 1) = 9(x + 2) x = -8 x = -3 x = 3 x = 8

x=-8

What is the value of x in the equation 2(x−3)+9=3(x+1)+x? x = −3 x = −1 x = 0 x = 3

x=0

Solve for x. 9(x + 1) = 25 + x x = 2 x = 3 x = 4 x = 5

x=2

Solve for x. 5(x - 10) = 30 - 15x x = 1 x = 4 x = 5 x = 8

x=4

How many solutions exist for the given equation? 3x + 13 = 3(x + 6) + 1 zero one two infinitely many

zero


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