Translate into an algebraic expression:
"The product of 2 and a number."
`2n`
Simplify:
`3x+9-x+1`
`2x+10`
Factor:
`2x-8`
`2(x-4)`
Simplify and then factor:
`16x-4x+5-2`
`3(4x+1)`
Translate into a verbal expression:
`m-4`
Answers may vary.
4 less than a number.
Simplify:
`3(2x-5)`
`6x-15`
Factor:
`4x-7`
Prime
Simplify and then factor:
`7x+2y+3x-8y`
`2(5x-3y)`
Translate into an algebraic expression:
"The sum of twice a number and eleven."
`2n+11`
Simplify:
`3+5x+2y-3x+2-y`
`2x+y+5`
Factor:
`2x+6x^2`
`2x(1+3x)`
Simplify and then factor:
`3(x+6)-x`
`2(x+9)`
Translate into a verbal expression:
`3x^2-1`
Answers may vary.
Three of a number squared minus one.
Simplify:
`-2(x+3)+7x-1`
`5x-7`
Factor:
`-6x-15`
`-3(2x+5)`
Simplify and then factor:
`17x-2(x+4)-2`
`5(3x-2)`
Translate into an algebraic expression:
"The quotient of three plus a number and five."
`(3+n)/5`
Simplify:
`5(2x-1)-(3x+5)`
`7x-10`
Factor:
`-10x^2-25x`
`-5x(2x+5)`
Simplify and then factor:
`2(4x-1)-3(x+6)`
`5(x-4)`