Modeling Equations and Solving

Translate the following algebraic equation.

"Double the difference of a number and two is equal to seven less than the product of four and the same number."

• $2\left(x-2\right)=4x-7$

• $2x-2=4x-7$

• $2\left(x-2\right)=7-4x$

• $2\left(x+2\right)=4x-7$

Translate the following and solve for x.

"The product of five and a number plus one is equal to triple the same number increased by five."

• $x=3$

• $x=\frac{3}{4}$

• $x=2$

• $x=\frac{1}{2}$

Tags

CCSS.8.EE.C.7B

Translate the following and solve for x.

"Two less than fives times a number results in four more than three times the same number."

• $x=3$

• $x=1$

• $x=\frac{3}{4}$

• $x=\frac{1}{4}$

Tags

CCSS.7.EE.B.4A

Translate the following and solve for x.

"Five times the sum of a number and two is three times the same number increased by eighteen."

• $x=1$

• $x=8$

• $x=10$

• $x=4$

Tags

CCSS.8.EE.C.7B

Translate the following and solve for x.

"Triple a number increased by four is equal to twelve more than the same number."

• $x=1$

• $x=2$

• $x=8$

• $x=4$

Tags

CCSS.7.EE.B.4A

Using the equation modeled, create an algebraic equation.

• $9x+5=6x+8$

• $x+1=-2x+2$

• $x+1=2x+2$

• $x+5=-2x+8$

Tags

CCSS.8.EE.C.7B

Using the equation modeled, create an algebraic equation.

• $3x-3=x+4$

• $7x+9=5x+6$

• $3x-4=3x+4$

• $-3x+3=-x+4$

Tags

CCSS.7.EE.B.4A

Using the equation modeled, create an algebraic equation.

• $-2x+6=-x+1$

• $-2x=-x+1$

• $2x=x-1$

• $-2x-6=-x+1$

Tags

CCSS.HSA.CED.A.3

Using the equation modeled, create an algebraic equation, and solve.

• $x=6$

• $x=-5$

• $x=5$

• $x=-6$

Tags

CCSS.7.EE.B.4A

Using the equation modeled, create an algebraic equation, and solve.

• $x=12$

• $x=\frac{2}{5}$

• $x=\frac{12}{5}$

• $x=2$

Tags

CCSS.8.EE.C.7B