Page 108 - Math Course 1 (Book 1)

Open Sentences

Standardized Test Example Translate Sentences Into
Equations
Example
Example

Which value is the solution of 4x – 1 = 11?
The quotient of a number and four is nine. Find
A 5 the number.
B 4
C 3 Words The quotient of a number and
D 2 four is nine.

Read the Test Item Variables Let n = the number.
The solution is the value that makes the equation
true.
n
Equation =9
Solve the Test Item 4
Test each value.
Answer 36
Answer Choice A:
Substitute 5 for x.

4x – 1 = 11 REAL WORLD EXAMPLE
?
4(5) – 1 = 11 Replace x with 5.
MAPLE SYRUP
19 ≠ 11
Answer Choice B: It takes about 45 gallons of tree sap to
Substitute 4 for x.
make about 1 gallon of maple syrup.
The table shows the relationship between the
4x – 1 = 11 number of gallons of tree sap and the number of
?
4(4) – 1 = 11 Replace x with 4. gallons of maple syrup. Given t, the number of
15 ≠ 11
gallons of tree sap used, write an equation to f nd
m, the number of gallons of maple syrup.
Answer Choice C:
Substitute 3 for x.
Gallons of Tree Gallons of Maple
4x – 1 = 11 Sap, t Syrup, m
?
4(3) – 1 = 11 Replace x with 3. 45 1
11 = 11
90 2
Answer Choice D: 135 3
Substitute 2 for x.
180 4
4x – 1 = 11
?
4(2) – 1 = 11 Replace x with 2. Words Number of gallons of tree sap is
7 ≠ 11 45 times the number of gallons of
maple syrup.

Since 3 makes the equation Variables Let t = number of gallons of tree
Answer
true, the answer is C. sap. Let m = number of gallons of
maple syrup.
Equation t = 45m

Answer t = 45m

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