Problems & Videos
\(\small{\textbf{1)}}\) Evaluate \( 2x+1 \) when \( x=7 \)
The answer is \( 15 \)
\(\,\,\,\,\,\,2x+1\)
\(\,\,\,\,\,\,2(7)+1\)
\(\,\,\,\,\,\,14+1\)
\(\,\,\,\,\,\,15\)
\(\small{\textbf{2)}}\) Evaluate \( 3x-4 \) when \( x=2 \)
The answer is \( 2 \)
\(\,\,\,\,\,\,3x-4\)
\(\,\,\,\,\,\,3(2)-4\)
\(\,\,\,\,\,\,6-4\)
\(\,\,\,\,\,\,2\)
\(\small{\textbf{3)}}\) Evaluate \( 2x+5 \) when \( x=3 \)
The answer is \( 11 \)
\(\,\,\,\,\,\,2x+5\)
\(\,\,\,\,\,\,2(3)+5\)
\(\,\,\,\,\,\,6+5\)
\(\,\,\,\,\,\,11\)
\(\small{\textbf{4)}}\) Evaluate \( 4x-1 \) when \( x=-2 \)
The answer is \( -9 \)
\(\,\,\,\,\,\,4x-1\)
\(\,\,\,\,\,\,4(-2)-1\)
\(\,\,\,\,\,\,-8-1\)
\(\,\,\,\,\,\,-9\)
\(\small{\textbf{5)}}\) Evaluate \( 2x – 4y \) if \( x=-1 \) and \( y=8 \)
The answer is \( -34 \)
\(\,\,\,\,\,\,2x – 4y\)
\(\,\,\,\,\,\,2(-1) – 4(8)\)
\(\,\,\,\,\,\,-2 – 32\)
\(\,\,\,\,\,\,-34\)
![Link to Youtube Video Solving Question Number 5](https://andymath.com/wp-content/uploads/2020/08/play-video.jpg")
\(\small{\textbf{6)}}\) Evaluate \( 4x + 2y \) if \( x=-5 \) and \( y=1 \)
The answer is \( -18 \)
\(\,\,\,\,\,\,4x+2y\)
\(\,\,\,\,\,\,4(-5)+2(1)\)
\(\,\,\,\,\,\,-20+2\)
\(\,\,\,\,\,\,-18\)
\(\small{\textbf{7)}}\) Evaluate \( 2y-3 \) if \( x=4 \) and \( y=2 \)
The answer is \( 1 \)
\(\,\,\,\,\,\,2y-3\)
\(\,\,\,\,\,\,2(2)-3\)
\(\,\,\,\,\,\,4-3\)
\(\,\,\,\,\,\,1\)
\(\small{\textbf{8)}}\) Evaluate \( 8x + 1 \) if \( x=-5 \)
The answer is \( -39 \)
\(\,\,\,\,\,\,8x + 1\)
\(\,\,\,\,\,\,8(-5) + 1\)
\(\,\,\,\,\,\,-40 + 1\)
\(\,\,\,\,\,\,-39\)
\(\small{\textbf{9)}}\) Evaluate \( 5 · 8 – 2n \) if \( n = 4 \)
The answer is \( 32 \)
\(\,\,\,\,\,\,5 · 8 – 2n\)
\(\,\,\,\,\,\,5 · 8 – 2(4)\)
\(\,\,\,\,\,\,40 – 8\)
\(\,\,\,\,\,\,32\)
\(\small{\textbf{10)}}\) Evaluate \( x – y \) if \( x=2\frac{3}{5} \) and \( y=1\frac{1}{3} \)
The answer is \( 1\frac{4}{15} \)
\(\,\,\,\,\,x-y\)
\(\,\,\,\,\,\left(2\frac{3}{5}\right)-\left(1\frac{1}{3}\right)\)
\(\,\,\,\,\,\displaystyle\frac{13}{5}-\frac{4}{3}\)
\(\,\,\,\,\,\displaystyle\frac{3}{3} \cdot \frac{13}{5}-\frac{4}{3} \cdot \frac{5}{5}\)
\(\,\,\,\,\,\displaystyle\frac{39}{15}-\frac{20}{15}\)
\(\,\,\,\,\,\displaystyle\frac{19}{15}\)
\(\,\,\,\,\,1\frac{4}{15}\)
\(\small{\textbf{11)}}\) Evaluate \( 5(x+y)+(5-x)^2+3y^2 \, \text{ if } x=3 \text{ and } y=2 \)
The answer is \( 41 \)
\(\,\,\,\,\,5(x+y)+(5-x)^2+3y^2\)
\(\,\,\,\,\,5(3+2)+(5-3)^2+3(2)^2\)
\(\,\,\,\,\,5(5)+(2)^2+3(2)^2\)
\(\,\,\,\,\,5(5)+4+3(4)\)
\(\,\,\,\,\,25+4+12\)
The answer is \( 41 \)
\(\small{\textbf{12)}}\) Evaluate \( 2x^2 \, \) if \( x=4 \)
The answer is \( 32 \)
\(\,\,\,\,\,\,2x^2\)
\(\,\,\,\,\,\,2(4)^2\)
\(\,\,\,\,\,\,2\cdot 16\)
\(\)\,\,\,\,\,\,32/latex]
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