Converting Expressions
Convert 3 less than a number
x-3
3x+4x+5 = 54
x=7
Is x=4 a solution to 3x-5=12
No 3(4)-5 does not equal 12
Jason and his brother are collecting baseball cards. Jason has collected 5 more than his brother. What would a Let statement look like?
Let x = # of baseball cards Jason has.
Convert the sum of one fourth of a number and 10
1/4x + 10
-4x + -4x+ -4x +2 +2 +2 +2 +2 = 34
x = -2
Is x=9 a solution to 4x -7 = x + 20
4(9)-7 = 29
9+20=29
The sum of three consecutive numbers is 6. What would a Let statement look like?
Let x = 1st number
two times the difference between a number and 5.
2(x-5)
-7x -3 + 21x -5-4 = 2
x=1
Is x = 0 a solution to 4x-x +5 = 3x+15
No 5 does not equal 15.
A triangle has a pair of angles that are congruent. The third angle is 100 degrees. What would a Let statement look like?
Let x = the missing angle measure.
4 divided by the sum of a number and 2
4
x+2
1/2x +3/4x = 25
x = 20
Is 2 a solution to 2(-6x+12)= 0
Yes -6(2) = -12+12 = 0,
0(2)=0
0=0
An angle is 2 times the sum of a number and 4. Another angle is 4 less than that. The two angles are complementary angles. What would a Let statement look like?
Let x = a missing number
5 less than a number, then multiplied by 3
3(x-5)
x+4x = 12x - 63
x=9
Is 3 a solution to 2(x+3) = 2x+6
Yes 2(3+3) = 2(3)+6
2(6) = 6+6
12=12
Godric has 13 bills in his wallet. Each bill is either a $5 or a $10. There is a total of $105 in his pocket.
What would a Let statement look like?
Let x = the number of bills in his wallet.