Solving Equations
8+a= -2
-10
A triangle has sides x+2, x+3, and x+5.
The perimeter is 25 cm. Find x
x=5
a + 4 > 6
a > 2
5−2(x−3)=3x+1
5−2x+6=3x+1
11−2x=3x+1
10=5x
x=2
2a-7= 13
10
A rectangle has length x+4 cm and width x+1 cm
the perimeter is 30 cm. Find x
2(x+4)+2(x+1)=30
2x+8+2x+2=30
4x+10=30
⇒x=5
-5b< -30
b>6
2(x−1)/3 =x+5/3
2(x−1)=x+5
2x−2=x+5
x−2=5
x=7
2x+5/3 - x+2/2 =4
x=13
Estaban is 6 years older than his brother Raoul. The sum of their ages is 38. How old are the brothers?
Esteban is 22 years old and Raoul is 16
x+x+6 = 38
2x+6. = 38
2x = 32
x. =16
7c - 4 ≥ 17
c≥3
x/2 + x/4 =9
x+ 2x = 36
3x= 36
x = 12
x+3/6 + x-3/3 =5
x=9
Natalie, Chantal, and Samara play together as a forward line on a hockey team. At the end of the season, Chantal had scored eight more goals than Natalie while Samara had scored twice as many goals as Natalie. The three girls scored a total of 52 goals. How many goals did each girl score?
Natalie scored 11
Chantal scored 19
Samara scored 22
x+x+8+2x =52
4x+8. =52
4x = 44
x = 11
−3x+5≥20
x≤−5
Two angles are supplementary. One angle is 3x+10 and the other is 2x+20. Find x, then find both angles.
SUPPLEMENTARY ANGLES ADD UP TO 180
(3x+10)+(2x+20)=180
5x+30=180
5x=150
x=30
2over3 (t−3)−1over2(t+4)=1
t=36
Ly has three more dimes than nickels and twice as many quarters as dimes. The value of his coins is $9.60. How many of each kind of coin does he have?
0.1(x+3) + 0.05x + 0.25(2) (x+3) = 9.60
0.1x + 0.3 + 0.05x + 0.5x + 1.5 = 9.60
0.65x + 1.8 = 9.6
0.65x = 7.8
x = 12
−5(x−2)≤25
x≥−3
In a triangle, the three angles are:
2x+10, 3x−5, x+25
Find x, then find all three angles.
(2x+10)+(3x−5)+(x+25)=180
6x+30=180
6x=150
x=25
2(25)+10=60
3(25)−5=70∘
25+25=50
60+50+70