Writing and Interpreting
Write an equation for the sentence:
The quotient of 24 and x is the same as the difference of 14 and 2 times x.
x/24 = 14-2x
Solve the equation:
36+x=-63
-99
Use inverse operations to solve each equation. Check your solution.
43=8z+11
4
Solve the equation:
-t+7=3t+15
t = -2
Solve the equation then state whether it has one solution, no solution, or identity/infinitely many solutions.
6(x - 3) + 10 = 2(3x - 4)
-8 = -8
identity/infinitely many solutions
What is the inverse operation of a square power?
square root
What is the inverse operation of a cube power?
cube root
Translate the equation into a sentence:
2b-10=4
10 less than the product of 2 and a number b is the same as 4.
Solve the equation:
-5d=65
-13
Solve this equation:
20p-185=55
12
Solve:
-5(-a-1)=3a-7
a = -6
Solve the equation then state whether it has one solution, no solution, or identity/infinitely many solutions.
8(4 - 2x) = 4(3 - 5x) + 4x
32 can not = 12
No solution
How many answers does a square root have?
2: one positive and one negative
What is the cube root of 9261
21
The product of three and b less than one hundred is the same as six times b.
100-3b=6b
Solve the equation:
m/15=-6
-90
Solve:
(5+m)/6=4
19
Solve:
(4x+10)/2=-3x
x = -1
Solve the equation then state whether it has one solution, no solution, or identity/infinitely many solutions.
2(3x + 5) = 5(2x - 5) - 4x
10 can not = 25
No solution
To the nearest tenth, what is the square root of 33?
5.7
True or False: There are two answers for cube roots, a positive root and a negative root.
FALSE
That is only true for SQUARE ROOTS
Write an equation from the sentence:
The product of six and the sum of a number x and nine equals two times x subtracted from four.
6(x+9)=4-2x
9=-3/2z
-6
Solve:
x/4+18=9
-36
Solve:
(2n+2)/8=n/3
n = 3
Finish this equation to make it have No Solution.
3(2x + 4) - x = _____x + _________
5x + (any # except 12)
Solve for x.
5x2 - 45 = 0
x = 3, -3
My amazon package is in the shape of a cube and has a volume of 15625 units3.
What is one dimension of the box?
s = 25 units
Anthony has saved $35 of the $140 he needs to purchase a new bicycle. He plants to save $15 each week, w, until he has enough money to buy the bicycle. Write an equation to find the number of weeks it will take Anthony to save enough money to buy the bicycle.
35+15w=140
Margo is repaying a load from her parents. She has already paid $315 and still owes them $1245. Write and solve an equation to find the original amount, a, of the loan.
a-315=1245; $1560
The distance from Pablo's house to a mall is 1 more mile than 5 times the distance from his house to his school. The distance from Pablo's house to the mall is 16 miles. Write and solve an equation to find the distance from Pablo's house to his school.
5d+1=16; 3 mi
Solve:
9y+8=4(y+2)+5y
Identity; infinite solutions
Finish the equation so that you create an equation with infinitely many solutions.
4(x + 2) - 3 = ___________
4x + 5
Solve for m.
7m2 - 5 = 23
m = 2, -2
Solve the equation for y:
-3(y3 - 3) = 657
y = -6