Substitute the given value into the expression. If it is true, place the expression into the TRUE box. If the expression is NOT true, place it into the FALSE box. 2/3 a = 4; a = 6... Substitute the given value into the expression. If it is true, place the expression into the TRUE box. If the expression is NOT true, place it into the FALSE box. 2/3 a = 4; a = 6 15 = 0.4x; x = 37.5 m - 8 = 13; m = 5 22.3 - l = 12.7; l = 9.6 1.5k = 4.5; k = 3 7/8 + d = 10/8; d = 3/4

Understand the Problem
The question requires determining whether given values satisfy their corresponding equations. Each equation needs to be checked by substituting the provided value and verifying if the equation holds true. The task involves basic algebraic manipulation and arithmetic.
Answer
True: - $\frac{2}{3}a = 4; a = 6$ - $15 = 0.4x; x = 37.5$ - $22.3 - l = 12.7; l = 9.6$ - $1.5k = 4.5; k = 3$ False: - $m - 8 = 13; m = 5$ - $\frac{7}{8} + d = \frac{10}{8}; d = \frac{3}{4}$
Answer for screen readers
True:
- $\frac{2}{3}a = 4; a = 6$
- $15 = 0.4x; x = 37.5$
- $22.3 - l = 12.7; l = 9.6$
- $1.5k = 4.5; k = 3$
False:
- $m - 8 = 13; m = 5$
- $\frac{7}{8} + d = \frac{10}{8}; d = \frac{3}{4}$
Steps to Solve
- Evaluate $\frac{2}{3}a = 4$ with $a = 6$
Substitute $a = 6$ into the equation: $$ \frac{2}{3}(6) = \frac{12}{3} = 4 $$ Since $4 = 4$, this statement is TRUE.
- Evaluate $15 = 0.4x$ with $x = 37.5$
Substitute $x = 37.5$ into the equation: $$ 0.4(37.5) = 15 $$ Since $15 = 15$, this statement is TRUE.
- Evaluate $m - 8 = 13$ with $m = 5$
Substitute $m = 5$ into the equation: $$ 5 - 8 = -3 $$ Since $-3 \neq 13$, this statement is FALSE.
- Evaluate $22.3 - l = 12.7$ with $l = 9.6$
Substitute $l = 9.6$ into the equation: $$ 22.3 - 9.6 = 12.7 $$ Since $12.7 = 12.7$, this statement is TRUE.
- Evaluate $1.5k = 4.5$ with $k = 3$
Substitute $k = 3$ into the equation: $$ 1.5(3) = 4.5 $$ Since $4.5 = 4.5$, this statement is TRUE.
- Evaluate $\frac{7}{8} + d = \frac{10}{8}$ with $d = \frac{3}{4}$
Substitute $d = \frac{3}{4}$ into the equation: $$ \frac{7}{8} + \frac{3}{4} = \frac{7}{8} + \frac{6}{8} = \frac{13}{8} $$ Since $\frac{13}{8} \neq \frac{10}{8}$, this statement is FALSE.
True:
- $\frac{2}{3}a = 4; a = 6$
- $15 = 0.4x; x = 37.5$
- $22.3 - l = 12.7; l = 9.6$
- $1.5k = 4.5; k = 3$
False:
- $m - 8 = 13; m = 5$
- $\frac{7}{8} + d = \frac{10}{8}; d = \frac{3}{4}$
More Information
Each equation was checked by substituting the given value for the variable and then simplifying the equation to see if the left side equaled the right side.
Tips
A common mistake is in carrying out the arithmetic operations, especially with decimals and fractions. Double-checking the calculations is essential to avoid errors.
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