Equations/Inequalities
Solve the equation:
2+x = 7
x = 5
Write the equation that corresponds to the description: 5 more than a number is 10.
5 + x = 10
Area of a rectangle is A=lw where l is the length and 2 is the width. Write a formula to express the w in terms of A and l.
w=A/l
What is the coefficient of x for the sum of 10x +2 and 2x + 3?
12
What is the solution to the equation 4(x – 1) – 6 = 10 ?
x = 5
For a set of three consecutive odd integers, three times the largest integer is 7 less than twice the sum of the other two integers. What is the largest integer in the set?
19
The formula E=mc2 represents the amount of energy in terms of mass and the speed of light (c2). Find the formula to represent the mass in terms of energy and the speed of light.
m=E/c2
The length of a rectangle is represented by the expression (x + 5). The width is represented by the expression (x + 3). Which expression represents the perimeter of this rectangle?
2(x+5) + 2(x+3)
What is the solution to the inequality x + 3 > -2x + 21 ?
x > 6
The length of a rectangle is 4 inches more than the width. The perimeter of the rectangle is 40 inches. Find the length.
12 inches
The area of a triangle is A=1/2bh where b is the base and h is the height. What would be the equation that represents the base in terms of the height and the area?
b=2A/h
Simplify:
3x3 + 2x - 5 - 3x + 5x2
3x3 + 5x2 - x - 5
What is the solution to the inequality 5x – 3 < 2x + 21 ?
x < 8
Angle EFH and angle GFH are congruent (they have equal measures). The measure of ∠EFH = 3x + 14 and the measure of ∠GFH = 9x – 10. What is the measure of ∠EFH?
26 degrees
Which equation is equivalent to y = x/4 + c, when solved for x?
4(y - c) = x
Find the values of a, b, and c if (4x² - 3x + 12) – (2x² - 6x + 5) = ax²+ bx + c.
a=2
b=3
c=7