mr barton maths

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Table of Values

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Foundational Skills
Substitute into y = x + c
\[ y = x + 4, \; x = 3 \]
Substitute into y = x + c
Substitute into y = mx (positive m)
\[ y = 3x, \; x = 4 \]
Multiply x by a positive gradient
Substitute into y = mx (negative m)
\[ y = -2x, \; x = 5 \]
Multiply x by a negative gradient
Substitute into y = mx + c (both positive)
\[ y = 2x + 3, \; x = 4 \]
Positive gradient and intercept
Substitute into y = mx + c (positive m, negative c)
\[ y = 3x – 2, \; x = 4 \]
Positive gradient, negative intercept
Substitute into y = mx + c (negative m)
\[ y = -2x + 5, \; x = 3 \]
Negative gradient with any intercept
Substitute into y = mx + c (fractional m)
\[ y = \frac{1}{2}x + 3, \; x = 6 \]
Fractional gradient
Tables for y = mx + c
Complete table for y = x + c
\[ y = x + 2 \]
Complete y-values for y = x + c
Complete table for y = mx (positive m)
\[ y = 3x \]
Complete y-values for y = mx
Complete table for y = mx (negative m)
\[ y = -2x \]
Negative gradient table
Complete table for y = mx + c (positive)
\[ y = 2x + 1 \]
Positive m and c
Complete table for y = mx + c (mixed signs)
\[ y = 2x – 3 \]
Positive m, negative c
Complete table for y = mx + c (negative m)
\[ y = -2x + 4 \]
Negative gradient table
Complete table for y = mx + c (fractional m)
\[ y = \frac{1}{2}x + 1 \]
Fractional gradient table
Complete partially filled table
\[ y = 2x + 1 \text{ (gaps)} \]
Some x and y values missing
Tables for ax + by = c
Find y-intercept (x = 0)
\[ 2x + 3y = 12, \; x = 0 \]
Find y when x = 0
Find x-intercept (y = 0)
\[ 3x + 2y = 6, \; y = 0 \]
Find x when y = 0
Find y when x = 0 (negative coeff.)
\[ 2x – 3y = 12, \; x = 0 \]
Negative coefficient on y
Find x when y = 0 (negative coeff.)
\[ -2x + 3y = 6, \; y = 0 \]
Negative coefficient on x
Find both intercepts
\[ 2x + 4y = 8 \]
Find both x and y intercepts
Find y given x (positive coefficients)
\[ 2x + 3y = 18, \; x = 3 \]
Rearrange to find y
Find x given y (positive coefficients)
\[ 3x + 2y = 14, \; y = 4 \]
Rearrange to find x
Find y given x (negative coefficients)
\[ 3x – 2y = 10, \; x = 4 \]
Handle negative coefficients
Find x given y (negative coefficients)
\[ 2x – 5y = -7, \; y = 3 \]
Handle negative coefficients
Complete table for ax + by = c (simple)
\[ 2x + y = 7 \]
Complete table, b = 1
Complete table for ax + by = c (selected x)
\[ 2x + 3y = 9 \]
x-values chosen for integers
Reading from Graphs
Read y-value from graph
\[ \text{Given } x, \text{ find } y \]
Read y from a straight line graph
Read x-value from graph
\[ \text{Given } y, \text{ find } x \]
Read x from a straight line graph
Timer (Optional)
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