Question

1.) $-3x + (-2x) =$ 2.) $-4y + (-y) =$ 3.) $-7ab + (-2ab) =$ 4.) $-4x + (-2x) + (-x) =$ 5.) $-6z + (-8z) + (-3z) =$ 6.) $-6ab + (-5ab) + (-ab) =$ 7.) $-9b + (-4b) + (-3b) =$ 8.) $-8r + -12r + -3r =$

Explanation:

Step1: Simplify \(-3x + (-2x)\)

We combine like terms. The coefficients are \(-3\) and \(-2\). Adding them: \(-3 + (-2) = -5\). So \(-3x + (-2x) = -5x\).

Step2: Simplify \(-4y + (-y)\)

The coefficient of \(y\) in the second term is \(-1\) (since \(-y = -1y\)). Adding coefficients: \(-4 + (-1) = -5\). Thus, \(-4y + (-y) = -5y\).

Step3: Simplify \(-7ab + (-2ab)\)

Combine like terms. Coefficients: \(-7 + (-2) = -9\). So, \(-7ab + (-2ab) = -9ab\).

Step4: Simplify \(-4x + (-2x) + (-x)\)

First, \(-4x + (-2x) = -6x\) (coefficients \(-4 + (-2) = -6\)). Then, \(-6x + (-x) = -7x\) (coefficients \(-6 + (-1) = -7\)).

Step5: Simplify \(-6z + (-8z) + (-3z)\)

Add coefficients: \(-6 + (-8) = -14\), then \(-14 + (-3) = -17\). So, \(-6z + (-8z) + (-3z) = -17z\).

Step6: Simplify \(-6ab + (-5ab) + (-ab)\)

Coefficients: \(-6 + (-5) = -11\), then \(-11 + (-1) = -12\). Thus, \(-6ab + (-5ab) + (-ab) = -12ab\).

Step7: Simplify \(-9b + (-4b) + (-3b)\)

Add coefficients: \(-9 + (-4) = -13\), then \(-13 + (-3) = -16\). So, \(-9b + (-4b) + (-3b) = -16b\).

Step8: Simplify \(-8r + -12r + -3r\)

(Note: \(+ -12r\) is \(-12r\) and \(+ -3r\) is \(-3r\)) Add coefficients: \(-8 + (-12) = -20\), then \(-20 + (-3) = -23\). So, \(-8r + -12r + -3r = -23r\).

Answer:

s:

1. \(\boldsymbol{-5x}\)
2. \(\boldsymbol{-5y}\)
3. \(\boldsymbol{-9ab}\)
4. \(\boldsymbol{-7x}\)
5. \(\boldsymbol{-17z}\)
6. \(\boldsymbol{-12ab}\)
7. \(\boldsymbol{-16b}\)
8. \(\boldsymbol{-23r}\)