Pre-Algebra Review
Which property is demonstrated by:
4/5 *5/4 = 1?
Inverse Property of Multiplication
Simplify:
64div[4(6+2)]-(4 + 6)(-2)
22
Solve: 3x + 7 = 5x - 11
x = 9
Find the GCF of
12x^5y^4 and 16xy^9
4xy^4
3/4 - 1/8 + 7/2
33/8 or 4 and 1/8
What is built by multiplying the LOWEST powers of only the COMMON factors ?
Greatest Common Factor
Simplify:
{{[(15 + 3)5]div 3 - 4} 14}- 16
348
Solve:
4(3x - 1) - (2x + 5) + 1 = 7x - 17
x = -3
Find the GCF of:
25x, 15x^2, 10x + 50
5
Simplify:
a. -34
b. (-3)4
c. (-3)-4
a. -81
b. 81
c. 1/81
Find the opposite of the opposite of -1/16
-1/16
Simplify by adding like terms:
3x2+2x2+1-3x+2x-y2+4y2
5x2+1-x+3y2
Evaluate if x = 1. y = 1 and z = 1
x2+4x(y+z)-7xyz
2
Factor out the GCF and simplify:
10ab+30bc+15abc
5b(2a+6c+3ac)
Rewrite the following verbal expression as an algebraic expression:
"the square root of the sum of three times the opposite of and negative twenty seven"
sqrt(3(-t)+(-27))
Find the values in a for which the following equation is true:
8(3+a)(a-7)
a=-3
a=7
Simplify the expression by adding like terms:
xz3-3zyz2-2yz3+4zxzz-5z2xz
-5yz3
Evaluate if a=-1, b=-3 and c=1
(a/(bc))[(bc)/a-3+abc]
1
Factor out the GCF:
12ab6-16a6b
4ab(3b5-4a5)
Consider the following expression:
a. Identify all variables.
b. What is the coefficient of the second term?
34q - 3/4 pi qr + 12r^2
a. q, r
b.
-3/4pi
Use the distributive property to simplify:
3x(4x + 5y - 2) + 6x
12x2 + 15xy
Simplify:
5x-2y2x-1z3z-4 + 7x-3z3yyz-2z-2 - 2y3z-1x-3y-1x0
Evaluate if a = -1, b = 1 and c = 2
ab2[ab-c=3(a+1)]
3
Factor out the GCF:
12ab2c3-18a3b2c+60b2c2
6b2c(2ac2-3a3+10c)
Determine whether the expression has a real value, is undefined, or is indeterminate:
(6(5 - 8)+ 2 * 9)/(4(7 - 8)- (1 - 5))
indeterminate