How many 5/7s are in 1?
Write a multiplication and division equation
Multiplication:
5/7 x = 1
Division:
x = 1 divided by 5/7
Evaluate
1/4c + 3d
when c = 6 and d = 7
27
Use substitution:
1/4(6) + 3(7)
1 1/2 + 21 = 22 1/2
Evaluate the expression:
Let x = 2
5
5 times 2 to the third is 40
2 to the third is 8
40 divided by 8 = 5
Dominic is shopping at a store that is offering a discount of 15% off the usual price of any item.
How much discount does Dominic receive on an item whose usual price is $80?
0.15(80) =d
12=d
The discount Dominic receives is $12
15% of $80 = discount
change 15% to a decimal 0.15 and then multiply that by 80.
Distribute to create an equivalent expression with the fewest symbols possible.
(6m -7)4
24m - 28
(It can NOT be written 28 - 24m - NOT THE SAME)
Write an equation for:
15% of 90 is x
0.15(90)=x
2.2 = z - 1.1
Solve for z
3.3
To get "z" alone, you need to ADD 1.1 to BOTH sides
Which expressions are equivalent to z + (z + 6)?
(z + z) + (z + 6)
2(z + 3)
(z + 6) + 6
2(z+3)
z + z = 2z +6
Factor out the 2:
2(z + 3)
Combine the like terms to create an equivalent expression.
5 + 2m + 3m + 6
5m + 11
2m + 3m because they both have "m"
5 + 6 because they are "constants" numbers with nothing attached
Distribute to create an equivalent expression with the fewest symbols possible.
(5t -6)5
25t - 30
It's easier if you rewrite it so that the outside number is on the LEFT SIDE first.
5(5t - 6)
Khalil is 3 years older than his cousin Noah.
Khalil wants to write an equation for his own age (k) in terms of Noah's age (n).
How should Khalil write his equation?
Evaluate
1/8 w + 5d
when w =4 and d = 9
45 1/2 or 45.5
(1/8 times 4) + (5 times 9)
1/2 + 45 = 45 1/2 or 45.5
5.2y = 20.8
Solve for y
y = 4
You need to get "y" alone by dividing both sides by 5.2
The tape diagram represents and equation.
Write the equation and solve.
35 = a + 17
subtract 17 from both sides to get "a" alone
18 = a
Combine the like terms to create an equivalent expression.
14 + 4z + z + 6
5z + 20
4z + z = 5z and 14 + 6 = 20
Factor 20r + 60t to identify the equivalent expressions.
4(5r + 15t)
5(5r + 12)
20(r + 3t)
60(20r + t)
Answers: 4(5r + 15t) and 20(r + 3t)
You can factor out a 4:
4(5r + 15t)
You can factor out a 20:
20(r + 3t)