Expressions, Equations

Question

A. Steven wrote an expression with 2 terms. The second term, which is the whole number 7, is subtracted from the first term. The first term is the product of 2 and the quantity of the sum of twice a number x and five, squared.

Write Steven’s expression and evaluate it for x = 3. Show all your work.

B. Jasmine wrote an expression that also has 2 terms. The first term has the variable x raised to the second power with a coefficient of 3. The second term is the product of x and 25. The terms are then added together.

Write Jasmine’s expression and solve for x = 2. Show all your work.

Answer 1

a)

2(2x + 5)^2 - 7

for x=3, 2(2*3+5)^2 - 7 = 2(6+5)^2 - 7 = 2(11)^2 - 7 = 2 * 121 - 7 = 242 - 7 = 235

b) 3x^2 + 25x

for x =2 , 3(2)^2 + 25(2) = 3(4) + 25(2) = 12 + 50 = 62