2.01 Properties of equality
Interactive practice questions
Consider this equation:
$3\left(a+\left(-6\right)\right)+10\left(2a+5\right)=8$3(a+(−6))+10(2a+5)=8
Original equation:
$3\left(a+\left(-6\right)\right)+10\left(2a+5\right)=8$3(a+(−6))+10(2a+5)=8
After the first step:
$3a+\left(-18\right)+20a+50=8$3a+(−18)+20a+50=8
Which of the following is the justification for the first step?
Addition property of equality
Multiplication property of equality
Associative property of addition
Commutative property of addition
Distributive property
Before the second step:
$3a+\left(-18\right)+20a+50=8$3a+(−18)+20a+50=8
After the second step:
$-18+50+3a+20a=8$−18+50+3a+20a=8
Which of the following is the justification for the second step?
Associative property of addition
Multiplication property of equality
Distributive property
Addition property of equality
Commutative property of addition
Before the third step:
$-18+50+3a+20a=8$−18+50+3a+20a=8
After the third step:
$\left(-18+50\right)+\left(3a+20a\right)=8$(−18+50)+(3a+20a)=8
Which of the following is the justification for the third step?
Distributive property
Associative property of addition
Multiplication property of equality
Commutative property of addition
Addition property of equality
Consider the following equations:
Equation $1$1: $3x=-15$3x=−15
Equation $2$2: $\frac{3x}{3}=\frac{-15}{3}$3x3=−153
Consider the equation: $\frac{8x+48}{9}=16$8x+489=16
Consider the equation: $\frac{4\left(x+6\right)}{5}=20$4(x+6)5=20.