Question

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

Answer 1

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

Answer 2

Use the distributive property to re-write the following expression. Show your work when re-writing this expression.




5 (2m +3)

Answer 3

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".

Answer 4

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.

Answer 5

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.