Solve the following 5 expressions given the values. Each answer will give a clue. Use the key read out after thing to match your number answer to the right letter, and spell out the mystery word.
Key:
A=1 B=2 C=3 D=4 E=5 F=6 G=7 H=8 I=9 J=10 K=11 L=12 M=13 N=14 O=15 P=16 Q=17 R=18 S=19 T=20 U=21 V=22 W=23 X=24 Y=25 Z=26
Questions:
1: Solve 4x-2y
when x=3 and y= 5
2: Solve T2 +9
when T=3
3: Solve 5a +2ab- b3
when a= 5 and b=4
4: Solve 50-2z
when z=14
5: Solve r+y-5
when r=11 and y=9
1: 4(3) - 2(5) = 12 - 10 = 2 (B)
2: (3)^2 + 9 = 9 + 9 = 18 (R)
3: 5(5) + 2(5)(4) - (4)^3 = 25 + 40 - 64 = 1 (A)
4: 50 - 2(14) = 50 - 28 = 22 (V)
5: 11 + 9 - 5 = 15 (O)
The mystery word is "BRAVO".
Use the commutative property to show that the following 2 expressions are equivilant to each other (how can you make both sides of the equal sign the same?) This question is worth 3 points. Make sure to show your work to prove these expressions are equivilant!
y+3a+y+5b+y-a-b = 2a+4b+3y
To show that the two expressions are equivalent using the commutative property, we can rearrange the terms on one side of the equation to match the other side.
Given:
y + 3a + y + 5b + y - a - b
To match 2a + 4b + 3y, we can rearrange the terms as follows:
3a - a + 5b - b + y + y + y
Now, simplify the rearranged expression:
3a - a = 2a
5b - b = 4b
y + y + y = 3y
Therefore, the two expressions are equivalent:
y + 3a + y + 5b + y - a - b = 2a + 4b + 3y
This equation shows that both expressions are equivalent.
Use the distributive property to re-write the following expression. Show your work when re-writing this expression.
5 (2m +3)
To rewrite the expression 5(2m + 3) using the distributive property, you distribute the 5 to both terms inside the parentheses:
5 * 2m + 5 * 3
Now, multiply both terms inside the parentheses by 5:
10m + 15
Therefore, 5(2m + 3) can be rewritten as 10m + 15 using the distributive property.