Solve Linear Equations and Inequalities with Rational Coefficients

If the coefficient of the variable is a fraction, dividing both sides by a fraction is the same as...

• dividing by a whole number

• subtracting the fraction

• using order of operations

• multiplying by the reciprocal

• x = 40

Solve the equation. Check your solution.

• 72

• .5

• ¹/₂

• 2

Write an equation AND solve. Three fourths of the fruit in a refrigerator are apples. There are 24 apples in the refrigerator. How many pieces of fruit are in the refrigerator?

• ¾ n = 24 ; 18 pieces of fruit

• ¾ n = 24 ; 8 pieces of fruit

• ¾ n = 24 ; 32 pieces of fruit

• ¾ (24) = n ; 18 pieces of fruit

Solve s-31=20.6

s=?

• 1

• -1

• -9

Solve \frac{3}{4}x-\frac{1}{2}=\frac{1}{3}\left(\frac{3}{4}x+6\right)-\frac{7}{2}

• x=-2

• x=-4

• x=-1

• x=2

Solve (x-3)-2=6-2(x+1)

x=?

Solve 0.3(x+1)=0.2(x+11)

x=?

What do you call "more than one equation"?

• equivalent

• algebraic expression

• System of equations

• System of inequalities