Real Number System
True or false:
An irrational number is a real number.
True
Solve for y:
3x+y=2
y=-3x+2
SOLVE:
1 − x = 16 − 4x
Twice a number is 500 more than six times the number. What is the number?
-4x=500
x=-125
SOLVE:
504 ÷ ______ = 36
14
Which statement is NOT always true?
A. The product of two irrational numbers is irrational.
B. The product of two rational numbers is rational.
C. The sum of two rational numbers is rational.
D. The sum of a rational number and an irrational number is irrational.
Solve for x
ax+bx=c
x=c/(a+b)
SOLVE:
−6x − 3(1 + 5x) = −8(x − 4) + 4
x= -3
WRITE AS A DECIMAL:
115.9%
1.159
List all the factors of the following number:
36
1, 2, 3, 4, 6, 9, 12, 18, 36
(-9-3)-2(5-6)
-9-3-10+12
-12-10+12
-22+12
-10
Solve for a: u=(ak)/b
a=(bu)/k
SOLVE:
2(1 + 6x) =2(3 + 6x)
no solution
What is the slope of the following linear equation?
y= -5x+6
Slope=-5
m=-5
21 ÷ 3 + (3 × 9) × 9 + 5=?
21 ÷ 3 + (3 × 9) × 9 + 5
21 ÷ 3 + (27) × 9 + 5
7 + (27) × 9 + 5
7 + 243+ 5
255
-4-7
-11
Solve for a:
g=4ca-3ba
a=(g)/(4c-3b)
SOLVE:
−8(n + 6) = −8(n + 6)
many/infinite solution
If 6 times a number is decreased by 6, the result is the same as when 3 times the number is increased by 12. Find the number. ?
6x-6=3x+12
3x-6=12
3x=18
x=6
8n − 6(−5n − 3) = 18 + 7n
8n+30n+18=18+7n
38n+18=18+7n
31n+18=18
31n=0
n=0
-10-4+6
-8
Solve for b:
ax+by=6
b=(6-ax)/y
SOLVE:
6(1 + 2k) − 6k = −3(−8k + 4)
k=1
Name the constant, coefficient, and variable?
2x+4
Constant: 4
Coefficient: 2
Variable: x
SOLVE:
2 ÷ 2/9 = ?
9